Improve comments for surctionproof init+alloc/destroy funcs

The comments with 'XXX' was intended to indicate that the listed
concerns was subject to review and change, but the code with these
comments was merged straight away. This commit replaces comments
with more complete text describing the issues.

This also signifies that the commit that this code was introduced in is
not anymore 'work in progress'.

.cirrus.yml

@@ -1,355 +0,0 @@
-env:
-  ### compiler options
-  HOST:
-  # Specific warnings can be disabled with -Wno-error=foo.
-  # -pedantic-errors is not equivalent to -Werror=pedantic and thus not implied by -Werror according to the GCC manual.
-  WERROR_CFLAGS: -Werror -pedantic-errors
-  MAKEFLAGS: -j4
-  BUILD: check
-  ### secp256k1 config
-  ECMULTWINDOW: auto
-  ECMULTGENPRECISION: auto
-  ASM: no
-  WIDEMUL: auto
-  WITH_VALGRIND: yes
-  EXTRAFLAGS:
-  ### secp256k1 modules
-  ECDH: no
-  RECOVERY: no
-  SCHNORRSIG: no
-  ECDSA_S2C: no
-  GENERATOR: no
-  RANGEPROOF: no
-  WHITELIST: no
-  MUSIG: no
-  ECDSAADAPTOR: no
-  ### test options
-  SECP256K1_TEST_ITERS:
-  BENCH: yes
-  SECP256K1_BENCH_ITERS: 2
-  CTIMETEST: yes
-  # Compile and run the tests
-  EXAMPLES: yes
-
-cat_logs_snippet: &CAT_LOGS
-  always:
-    cat_tests_log_script:
-      - cat tests.log || true
-    cat_exhaustive_tests_log_script:
-      - cat exhaustive_tests.log || true
-    cat_valgrind_ctime_test_log_script:
-      - cat valgrind_ctime_test.log || true
-    cat_bench_log_script:
-      - cat bench.log || true
-  on_failure:
-    cat_config_log_script:
-      - cat config.log || true
-    cat_test_env_script:
-      - cat test_env.log || true
-    cat_ci_env_script:
-      - env
-
-merge_base_script_snippet: &MERGE_BASE
-  merge_base_script:
-    - if [ "$CIRRUS_PR" = "" ]; then exit 0; fi
-    - git fetch $CIRRUS_REPO_CLONE_URL $CIRRUS_BASE_BRANCH
-    - git config --global user.email "ci@ci.ci"
-    - git config --global user.name "ci"
-    - git merge FETCH_HEAD  # Merge base to detect silent merge conflicts
-
-linux_container_snippet: &LINUX_CONTAINER
-  container:
-    dockerfile: ci/linux-debian.Dockerfile
-    # Reduce number of CPUs to be able to do more builds in parallel.
-    cpu: 1
-    # Gives us more CPUs for free if they're available.
-    greedy: true
-    # More than enough for our scripts.
-    memory: 1G
-
-task:
-  name: "x86_64: Linux (Debian stable)"
-  << : *LINUX_CONTAINER
-  matrix: &ENV_MATRIX
-    - env: {WIDEMUL:  int64,  RECOVERY: yes}
-    - env: {WIDEMUL:  int64,                 ECDH: yes, SCHNORRSIG: yes, EXPERIMENTAL: yes, ECDSA_S2C: yes,  RANGEPROOF: yes, WHITELIST: yes, GENERATOR: yes, MUSIG: yes, ECDSAADAPTOR: yes}
-    - env: {WIDEMUL: int128}
-    - env: {WIDEMUL: int128,  RECOVERY: yes,            SCHNORRSIG: yes}
-    - env: {WIDEMUL: int128,                 ECDH: yes, SCHNORRSIG: yes, EXPERIMENTAL: yes, ECDSA_S2C: yes, RANGEPROOF: yes, WHITELIST: yes, GENERATOR: yes, MUSIG: yes, ECDSAADAPTOR: yes}
-    - env: {WIDEMUL: int128,  ASM: x86_64}
-    - env: {                  RECOVERY: yes,            SCHNORRSIG: yes, EXPERIMENTAL: yes, ECDSA_S2C: yes, RANGEPROOF: yes, WHITELIST: yes, GENERATOR: yes, MUSIG: yes, ECDSAADAPTOR: yes}
-    - env: {BUILD: distcheck, WITH_VALGRIND: no, CTIMETEST: no, BENCH: no}
-    - env: {CPPFLAGS: -DDETERMINISTIC}
-    - env: {CFLAGS: -O0, CTIMETEST: no}
-    - env: { ECMULTGENPRECISION: 2, ECMULTWINDOW: 2 }
-    - env: { ECMULTGENPRECISION: 8, ECMULTWINDOW: 4 }
-  matrix:
-    - env:
-        CC: gcc
-    - env:
-        CC: clang
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "i686: Linux (Debian stable)"
-  << : *LINUX_CONTAINER
-  env:
-    HOST: i686-linux-gnu
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    EXPERIMENTAL: yes
-    ECDSA_S2C: yes
-    RANGEPROOF: yes
-    WHITELIST: yes
-    GENERATOR: yes
-    MUSIG: yes
-    ECDSAADAPTOR: yes
-  matrix:
-    - env:
-        CC: i686-linux-gnu-gcc
-    - env:
-        CC: clang --target=i686-pc-linux-gnu -isystem /usr/i686-linux-gnu/include
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "x86_64: macOS Catalina"
-  macos_instance:
-    image: catalina-base
-  # tasks with valgrind enabled take about 90 minutes
-  timeout_in: 120m
-  env:
-    HOMEBREW_NO_AUTO_UPDATE: 1
-    HOMEBREW_NO_INSTALL_CLEANUP: 1
-    # Cirrus gives us a fixed number of 12 virtual CPUs. Not that we even have that many jobs at the moment...
-    MAKEFLAGS: -j13
-  matrix:
-    << : *ENV_MATRIX
-  matrix:
-    - env:
-        CC: gcc-9
-    - env:
-        CC: clang
-  # Update Command Line Tools
-  # Uncomment this if the Command Line Tools on the CirrusCI macOS image are too old to brew valgrind.
-  # See https://apple.stackexchange.com/a/195963 for the implementation.
-  ## update_clt_script:
-  ##   - system_profiler SPSoftwareDataType
-  ##   - touch /tmp/.com.apple.dt.CommandLineTools.installondemand.in-progress
-  ##   - |-
-  ##     PROD=$(softwareupdate -l | grep "*.*Command Line" | tail -n 1 | awk -F"*" '{print $2}' | sed -e 's/^ *//' | sed 's/Label: //g' | tr -d '\n')
-  ##   # For debugging
-  ##   - softwareupdate -l && echo "PROD: $PROD"
-  ##   - softwareupdate -i "$PROD" --verbose
-  ##   - rm /tmp/.com.apple.dt.CommandLineTools.installondemand.in-progress
-  ##
-  brew_valgrind_pre_script:
-    # Retry a few times because this tends to fail randomly.
-    - for i in {1..5}; do brew update && break || sleep 15; done
-    - brew config
-    - brew tap LouisBrunner/valgrind
-    # Fetch valgrind source but don't build it yet.
-    - brew fetch --HEAD LouisBrunner/valgrind/valgrind
-  brew_valgrind_cache:
-    # This is $(brew --cellar valgrind) but command substition does not work here.
-    folder: /usr/local/Cellar/valgrind
-    # Rebuild cache if ...
-    fingerprint_script:
-      # ... macOS version changes:
-      - sw_vers
-      # ... brew changes:
-      - brew config
-      # ... valgrind changes:
-      - git -C "$(brew --cache)/valgrind--git" rev-parse HEAD
-    populate_script:
-      # If there's no hit in the cache, build and install valgrind.
-      - brew install --HEAD LouisBrunner/valgrind/valgrind
-  brew_valgrind_post_script:
-    # If we have restored valgrind from the cache, tell brew to create symlink to the PATH.
-    # If we haven't restored from cached (and just run brew install), this is a no-op.
-    - brew link valgrind
-  brew_script:
-    - brew install automake libtool gcc@9
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "s390x (big-endian): Linux (Debian stable, QEMU)"
-  << : *LINUX_CONTAINER
-  env:
-    WRAPPER_CMD: qemu-s390x
-    SECP256K1_TEST_ITERS: 16
-    HOST: s390x-linux-gnu
-    WITH_VALGRIND: no
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    EXPERIMENTAL: yes
-    ECDSA_S2C: yes
-    RANGEPROOF: yes
-    WHITELIST: yes
-    GENERATOR: yes
-    MUSIG: yes
-    ECDSAADAPTOR: yes
-    CTIMETEST: no
-  << : *MERGE_BASE
-  test_script:
-    # https://sourceware.org/bugzilla/show_bug.cgi?id=27008
-    - rm /etc/ld.so.cache
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "ARM32: Linux (Debian stable, QEMU)"
-  << : *LINUX_CONTAINER
-  env:
-    WRAPPER_CMD: qemu-arm
-    SECP256K1_TEST_ITERS: 16
-    HOST: arm-linux-gnueabihf
-    WITH_VALGRIND: no
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    CTIMETEST: no
-  matrix:
-    - env: {}
-    - env: {EXPERIMENTAL: yes, ASM: arm}
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "ARM64: Linux (Debian stable, QEMU)"
-  << : *LINUX_CONTAINER
-  env:
-    WRAPPER_CMD: qemu-aarch64
-    SECP256K1_TEST_ITERS: 16
-    HOST: aarch64-linux-gnu
-    WITH_VALGRIND: no
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    CTIMETEST: no
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "ppc64le: Linux (Debian stable, QEMU)"
-  << : *LINUX_CONTAINER
-  env:
-    WRAPPER_CMD: qemu-ppc64le
-    SECP256K1_TEST_ITERS: 16
-    HOST: powerpc64le-linux-gnu
-    WITH_VALGRIND: no
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    CTIMETEST: no
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "x86_64 (mingw32-w64): Windows (Debian stable, Wine)"
-  << : *LINUX_CONTAINER
-  env:
-    WRAPPER_CMD: wine64-stable
-    SECP256K1_TEST_ITERS: 16
-    HOST: x86_64-w64-mingw32
-    WITH_VALGRIND: no
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    CTIMETEST: no
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-# Sanitizers
-task:
-  timeout_in: 120m
-  << : *LINUX_CONTAINER
-  env:
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-    EXPERIMENTAL: yes
-    ECDSA_S2C: yes
-    RANGEPROOF: yes
-    WHITELIST: yes
-    GENERATOR: yes
-    MUSIG: yes
-    ECDSAADAPTOR: yes
-    CTIMETEST: no
-  matrix:
-    - name: "Valgrind (memcheck)"
-      container:
-        cpu: 2
-      env:
-        # The `--error-exitcode` is required to make the test fail if valgrind found errors, otherwise it'll return 0 (https://www.valgrind.org/docs/manual/manual-core.html)
-        WRAPPER_CMD: "valgrind --error-exitcode=42"
-        SECP256K1_TEST_ITERS: 2
-    - name: "UBSan, ASan, LSan"
-      container:
-        memory: 2G
-      env:
-        CFLAGS: "-fsanitize=undefined,address -g"
-        UBSAN_OPTIONS: "print_stacktrace=1:halt_on_error=1"
-        ASAN_OPTIONS: "strict_string_checks=1:detect_stack_use_after_return=1:detect_leaks=1"
-        LSAN_OPTIONS: "use_unaligned=1"
-        SECP256K1_TEST_ITERS: 32
-  # Try to cover many configurations with just a tiny matrix.
-  matrix:
-    - env:
-        ASM: auto
-    - env:
-        ASM: no
-        ECMULTGENPRECISION: 2
-        ECMULTWINDOW: 2
-  matrix:
-    - env:
-        CC: clang
-    - env:
-        HOST: i686-linux-gnu
-        CC: i686-linux-gnu-gcc
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "C++ -fpermissive"
-  << : *LINUX_CONTAINER
-  env:
-    # ./configure correctly errors out when given CC=g++.
-    # We hack around this by passing CC=g++ only to make.
-    CC: gcc
-    MAKEFLAGS: -j4 CC=g++ CFLAGS=-fpermissive\ -g
-    WERROR_CFLAGS:
-    ECDH: yes
-    RECOVERY: yes
-    SCHNORRSIG: yes
-  << : *MERGE_BASE
-  test_script:
-    - ./ci/cirrus.sh
-  << : *CAT_LOGS
-
-task:
-  name: "sage prover"
-  << : *LINUX_CONTAINER
-  test_script:
-    - cd sage
-    - sage prove_group_implementations.sage

.gitattributes

@@ -1,2 +0,0 @@
-src/precomputed_ecmult.c linguist-generated
-src/precomputed_ecmult_gen.c linguist-generated

.gitignore

@@ -1,23 +1,20 @@
-bench
+bench_inv
+bench_ecdh
 bench_ecmult
 bench_generator
 bench_rangeproof
+bench_schnorrsig
+bench_sign
+bench_verify
+bench_recover
 bench_internal
 tests
 exhaustive_tests
-precompute_ecmult_gen
-precompute_ecmult
-valgrind_ctime_test
-ecdh_example
-ecdsa_example
-schnorr_example
+gen_context
 *.exe
 *.so
 *.a
-*.csv
 !.gitignore
-*.log
-*.trs
 
 Makefile
 configure
@@ -27,7 +24,6 @@ aclocal.m4
 autom4te.cache/
 config.log
 config.status
-conftest*
 *.tar.gz
 *.la
 libtool
@@ -36,19 +32,9 @@ libtool
 *.lo
 *.o
 *~
-*.log
-*.trs
-
-coverage/
-coverage.html
-coverage.*.html
-*.gcda
-*.gcno
-*.gcov
-
 src/libsecp256k1-config.h
 src/libsecp256k1-config.h.in
-build-aux/ar-lib
+src/ecmult_static_context.h
 build-aux/config.guess
 build-aux/config.sub
 build-aux/depcomp
@@ -64,6 +50,3 @@ build-aux/compile
 build-aux/test-driver
 src/stamp-h1
 libsecp256k1.pc
-contrib/gh-pr-create.sh
-
-musig_example

.travis.yml

@@ -0,0 +1,70 @@
+language: c
+os: linux
+addons:
+  apt:
+    packages: libgmp-dev
+compiler:
+  - clang
+  - gcc
+cache:
+  directories:
+  - src/java/guava/
+env:
+  global:
+    - FIELD=auto  BIGNUM=auto  SCALAR=auto  ENDOMORPHISM=no  STATICPRECOMPUTATION=yes  ASM=no  BUILD=check  EXTRAFLAGS=  HOST=  ECDH=no  RECOVERY=no  EXPERIMENTAL=no  JNI=no GENERATOR=no RANGEPROOF=no WHITELIST=no
+    - GUAVA_URL=https://search.maven.org/remotecontent?filepath=com/google/guava/guava/18.0/guava-18.0.jar GUAVA_JAR=src/java/guava/guava-18.0.jar
+  matrix:
+    - SCALAR=32bit    FIELD=32bit       EXPERIMENTAL=yes RANGEPROOF=yes WHITELIST=yes GENERATOR=yes
+    - FIELD=64bit     EXPERIMENTAL=yes RANGEPROOF=yes WHITELIST=yes GENERATOR=yes
+    - SCALAR=32bit    RECOVERY=yes
+    - SCALAR=32bit    FIELD=32bit       ECDH=yes  EXPERIMENTAL=yes
+    - SCALAR=64bit
+    - FIELD=64bit     RECOVERY=yes
+    - FIELD=64bit     ENDOMORPHISM=yes
+    - FIELD=64bit     ENDOMORPHISM=yes  ECDH=yes EXPERIMENTAL=yes
+    - FIELD=64bit                       ASM=x86_64
+    - FIELD=64bit     ENDOMORPHISM=yes  ASM=x86_64
+    - FIELD=32bit     ENDOMORPHISM=yes
+    - BIGNUM=no
+    - BIGNUM=no       ENDOMORPHISM=yes RECOVERY=yes EXPERIMENTAL=yes
+    - BIGNUM=no       STATICPRECOMPUTATION=no
+    - BUILD=distcheck
+    - EXTRAFLAGS=CPPFLAGS=-DDETERMINISTIC
+    - EXTRAFLAGS=CFLAGS=-O0
+    - BUILD=check-java JNI=yes ECDH=yes EXPERIMENTAL=yes
+matrix:
+  fast_finish: true
+  include:
+    - compiler: clang
+      env: HOST=i686-linux-gnu ENDOMORPHISM=yes
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+            - libgmp-dev:i386
+    - compiler: clang
+      env: HOST=i686-linux-gnu
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+    - compiler: gcc
+      env: HOST=i686-linux-gnu ENDOMORPHISM=yes
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+    - compiler: gcc
+      env: HOST=i686-linux-gnu
+      addons:
+        apt:
+          packages:
+            - gcc-multilib
+            - libgmp-dev:i386
+before_install: mkdir -p `dirname $GUAVA_JAR`
+install: if [ ! -f $GUAVA_JAR ]; then wget $GUAVA_URL -O $GUAVA_JAR; fi
+before_script: ./autogen.sh
+script:
+ - if [ -n "$HOST" ]; then export USE_HOST="--host=$HOST"; fi
+ - if [ "x$HOST" = "xi686-linux-gnu" ]; then export CC="$CC -m32"; fi
+ - ./configure --enable-experimental=$EXPERIMENTAL --enable-endomorphism=$ENDOMORPHISM --with-field=$FIELD --with-bignum=$BIGNUM --with-scalar=$SCALAR --enable-ecmult-static-precomputation=$STATICPRECOMPUTATION --enable-module-ecdh=$ECDH --enable-module-recovery=$RECOVERY --enable-module-rangeproof=$RANGEPROOF --enable-module-whitelist=$WHITELIST --enable-module-generator=$GENERATOR --enable-jni=$JNI $EXTRAFLAGS $USE_HOST && make -j2 $BUILD

Makefile.am

@@ -1,12 +1,12 @@
-.PHONY: clean-precomp precomp
-
 ACLOCAL_AMFLAGS = -I build-aux/m4
 
-# AM_CFLAGS will be automatically prepended to CFLAGS by Automake when compiling some foo
-# which does not have an explicit foo_CFLAGS variable set.
-AM_CFLAGS = $(SECP_CFLAGS)
-
 lib_LTLIBRARIES = libsecp256k1.la
+if USE_JNI
+JNI_LIB = libsecp256k1_jni.la
+noinst_LTLIBRARIES = $(JNI_LIB)
+else
+JNI_LIB =
+endif
 include_HEADERS = include/secp256k1.h
 include_HEADERS += include/secp256k1_preallocated.h
 noinst_HEADERS =
@@ -20,39 +20,31 @@ noinst_HEADERS += src/scalar_8x32_impl.h
 noinst_HEADERS += src/scalar_low_impl.h
 noinst_HEADERS += src/group.h
 noinst_HEADERS += src/group_impl.h
-noinst_HEADERS += src/eccommit.h
-noinst_HEADERS += src/eccommit_impl.h
+noinst_HEADERS += src/num_gmp.h
+noinst_HEADERS += src/num_gmp_impl.h
 noinst_HEADERS += src/ecdsa.h
 noinst_HEADERS += src/ecdsa_impl.h
 noinst_HEADERS += src/eckey.h
 noinst_HEADERS += src/eckey_impl.h
 noinst_HEADERS += src/ecmult.h
 noinst_HEADERS += src/ecmult_impl.h
-noinst_HEADERS += src/ecmult_compute_table.h
-noinst_HEADERS += src/ecmult_compute_table_impl.h
 noinst_HEADERS += src/ecmult_const.h
 noinst_HEADERS += src/ecmult_const_impl.h
 noinst_HEADERS += src/ecmult_gen.h
 noinst_HEADERS += src/ecmult_gen_impl.h
-noinst_HEADERS += src/ecmult_gen_compute_table.h
-noinst_HEADERS += src/ecmult_gen_compute_table_impl.h
+noinst_HEADERS += src/num.h
+noinst_HEADERS += src/num_impl.h
 noinst_HEADERS += src/field_10x26.h
 noinst_HEADERS += src/field_10x26_impl.h
 noinst_HEADERS += src/field_5x52.h
 noinst_HEADERS += src/field_5x52_impl.h
 noinst_HEADERS += src/field_5x52_int128_impl.h
 noinst_HEADERS += src/field_5x52_asm_impl.h
-noinst_HEADERS += src/modinv32.h
-noinst_HEADERS += src/modinv32_impl.h
-noinst_HEADERS += src/modinv64.h
-noinst_HEADERS += src/modinv64_impl.h
-noinst_HEADERS += src/precomputed_ecmult.h
-noinst_HEADERS += src/precomputed_ecmult_gen.h
-noinst_HEADERS += src/assumptions.h
+noinst_HEADERS += src/java/org_bitcoin_NativeSecp256k1.h
+noinst_HEADERS += src/java/org_bitcoin_Secp256k1Context.h
 noinst_HEADERS += src/util.h
 noinst_HEADERS += src/scratch.h
 noinst_HEADERS += src/scratch_impl.h
-noinst_HEADERS += src/selftest.h
 noinst_HEADERS += src/testrand.h
 noinst_HEADERS += src/testrand_impl.h
 noinst_HEADERS += src/hash.h
@@ -60,24 +52,17 @@ noinst_HEADERS += src/hash_impl.h
 noinst_HEADERS += src/field.h
 noinst_HEADERS += src/field_impl.h
 noinst_HEADERS += src/bench.h
-noinst_HEADERS += src/basic-config.h
 noinst_HEADERS += contrib/lax_der_parsing.h
 noinst_HEADERS += contrib/lax_der_parsing.c
 noinst_HEADERS += contrib/lax_der_privatekey_parsing.h
 noinst_HEADERS += contrib/lax_der_privatekey_parsing.c
-noinst_HEADERS += examples/random.h
-
-PRECOMPUTED_LIB = libsecp256k1_precomputed.la
-noinst_LTLIBRARIES = $(PRECOMPUTED_LIB)
-libsecp256k1_precomputed_la_SOURCES =  src/precomputed_ecmult.c src/precomputed_ecmult_gen.c
-libsecp256k1_precomputed_la_CPPFLAGS = $(SECP_INCLUDES)
 
 if USE_EXTERNAL_ASM
 COMMON_LIB = libsecp256k1_common.la
+noinst_LTLIBRARIES = $(COMMON_LIB)
 else
 COMMON_LIB =
 endif
-noinst_LTLIBRARIES += $(COMMON_LIB)
 
 pkgconfigdir = $(libdir)/pkgconfig
 pkgconfig_DATA = libsecp256k1.pc
@@ -89,42 +74,36 @@ endif
 endif
 
 libsecp256k1_la_SOURCES = src/secp256k1.c
-libsecp256k1_la_CPPFLAGS = -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES)
-libsecp256k1_la_LIBADD = $(SECP_LIBS) $(COMMON_LIB) $(PRECOMPUTED_LIB)
-libsecp256k1_la_LDFLAGS = -no-undefined -version-info $(LIB_VERSION_CURRENT):$(LIB_VERSION_REVISION):$(LIB_VERSION_AGE)
+libsecp256k1_la_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/include -I$(top_srcdir)/src $(SECP_INCLUDES)
+libsecp256k1_la_LIBADD = $(JNI_LIB) $(SECP_LIBS) $(COMMON_LIB)
 
-if VALGRIND_ENABLED
-libsecp256k1_la_CPPFLAGS += -DVALGRIND
-endif
+libsecp256k1_jni_la_SOURCES  = src/java/org_bitcoin_NativeSecp256k1.c src/java/org_bitcoin_Secp256k1Context.c
+libsecp256k1_jni_la_CPPFLAGS = -DSECP256K1_BUILD $(JNI_INCLUDES)
 
 noinst_PROGRAMS =
 if USE_BENCHMARK
-noinst_PROGRAMS += bench bench_internal bench_ecmult
-bench_SOURCES = src/bench.c
-bench_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
+noinst_PROGRAMS += bench_verify bench_sign bench_internal bench_ecmult
+bench_verify_SOURCES = src/bench_verify.c
+bench_verify_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
+bench_sign_SOURCES = src/bench_sign.c
+bench_sign_LDADD = libsecp256k1.la $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
 bench_internal_SOURCES = src/bench_internal.c
-bench_internal_LDADD = $(SECP_LIBS) $(COMMON_LIB) $(PRECOMPUTED_LIB)
-bench_internal_CPPFLAGS = $(SECP_INCLUDES)
+bench_internal_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+bench_internal_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES)
 bench_ecmult_SOURCES = src/bench_ecmult.c
-bench_ecmult_LDADD = $(SECP_LIBS) $(COMMON_LIB) $(PRECOMPUTED_LIB)
-bench_ecmult_CPPFLAGS = $(SECP_INCLUDES)
+bench_ecmult_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+bench_ecmult_CPPFLAGS = -DSECP256K1_BUILD $(SECP_INCLUDES)
 endif
 
 TESTS =
 if USE_TESTS
 noinst_PROGRAMS += tests
 tests_SOURCES = src/tests.c
-tests_CPPFLAGS = -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES)
-if VALGRIND_ENABLED
-tests_CPPFLAGS += -DVALGRIND
-noinst_PROGRAMS += valgrind_ctime_test
-valgrind_ctime_test_SOURCES = src/valgrind_ctime_test.c
-valgrind_ctime_test_LDADD = libsecp256k1.la $(SECP_LIBS) $(COMMON_LIB)
-endif
+tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src -I$(top_srcdir)/include $(SECP_INCLUDES) $(SECP_TEST_INCLUDES)
 if !ENABLE_COVERAGE
 tests_CPPFLAGS += -DVERIFY
 endif
-tests_LDADD = $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB) $(PRECOMPUTED_LIB)
+tests_LDADD = $(SECP_LIBS) $(SECP_TEST_LIBS) $(COMMON_LIB)
 tests_LDFLAGS = -static
 TESTS += tests
 endif
@@ -132,104 +111,77 @@ endif
 if USE_EXHAUSTIVE_TESTS
 noinst_PROGRAMS += exhaustive_tests
 exhaustive_tests_SOURCES = src/tests_exhaustive.c
-exhaustive_tests_CPPFLAGS = $(SECP_INCLUDES)
+exhaustive_tests_CPPFLAGS = -DSECP256K1_BUILD -I$(top_srcdir)/src $(SECP_INCLUDES)
 if !ENABLE_COVERAGE
 exhaustive_tests_CPPFLAGS += -DVERIFY
 endif
-# Note: do not include $(PRECOMPUTED_LIB) in exhaustive_tests (it uses runtime-generated tables).
 exhaustive_tests_LDADD = $(SECP_LIBS) $(COMMON_LIB)
 exhaustive_tests_LDFLAGS = -static
 TESTS += exhaustive_tests
 endif
 
-if USE_EXAMPLES
-noinst_PROGRAMS += ecdsa_example
-ecdsa_example_SOURCES = examples/ecdsa.c
-ecdsa_example_CPPFLAGS = -I$(top_srcdir)/include
-ecdsa_example_LDADD = libsecp256k1.la
-ecdsa_example_LDFLAGS = -static
-if BUILD_WINDOWS
-ecdsa_example_LDFLAGS += -lbcrypt
-endif
-TESTS += ecdsa_example
-if ENABLE_MODULE_ECDH
-noinst_PROGRAMS += ecdh_example
-ecdh_example_SOURCES = examples/ecdh.c
-ecdh_example_CPPFLAGS = -I$(top_srcdir)/include
-ecdh_example_LDADD = libsecp256k1.la
-ecdh_example_LDFLAGS = -static
-if BUILD_WINDOWS
-ecdh_example_LDFLAGS += -lbcrypt
-endif
-TESTS += ecdh_example
-endif
-if ENABLE_MODULE_SCHNORRSIG
-noinst_PROGRAMS += schnorr_example
-schnorr_example_SOURCES = examples/schnorr.c
-schnorr_example_CPPFLAGS = -I$(top_srcdir)/include
-schnorr_example_LDADD = libsecp256k1.la
-schnorr_example_LDFLAGS = -static
-if BUILD_WINDOWS
-schnorr_example_LDFLAGS += -lbcrypt
-endif
-TESTS += schnorr_example
-endif
-if ENABLE_MODULE_MUSIG
-noinst_PROGRAMS += musig_example
-musig_example_SOURCES = examples/musig.c
-musig_example_CPPFLAGS = -I$(top_srcdir)/include
-musig_example_LDADD = libsecp256k1.la
-musig_example_LDFLAGS = -static
-if BUILD_WINDOWS
-musig_example_LDFLAGS += -lbcrypt
-endif
-TESTS += musig_example
+JAVAROOT=src/java
+JAVAORG=org/bitcoin
+JAVA_GUAVA=$(srcdir)/$(JAVAROOT)/guava/guava-18.0.jar
+CLASSPATH_ENV=CLASSPATH=$(JAVA_GUAVA)
+JAVA_FILES= \
+  $(JAVAROOT)/$(JAVAORG)/NativeSecp256k1.java \
+  $(JAVAROOT)/$(JAVAORG)/NativeSecp256k1Test.java \
+  $(JAVAROOT)/$(JAVAORG)/NativeSecp256k1Util.java \
+  $(JAVAROOT)/$(JAVAORG)/Secp256k1Context.java
+
+if USE_JNI
+
+$(JAVA_GUAVA):
+	@echo Guava is missing. Fetch it via: \
+	wget https://search.maven.org/remotecontent?filepath=com/google/guava/guava/18.0/guava-18.0.jar -O $(@)
+	@false
+
+.stamp-java: $(JAVA_FILES)
+	@echo   Compiling $^
+	$(AM_V_at)$(CLASSPATH_ENV) javac $^
+	@touch $@
+
+if USE_TESTS
+
+check-java: libsecp256k1.la $(JAVA_GUAVA) .stamp-java
+	$(AM_V_at)java -Djava.library.path="./:./src:./src/.libs:.libs/" -cp "$(JAVA_GUAVA):$(JAVAROOT)" $(JAVAORG)/NativeSecp256k1Test
+
 endif
 endif
 
-### Precomputed tables
-EXTRA_PROGRAMS = precompute_ecmult precompute_ecmult_gen
-CLEANFILES = $(EXTRA_PROGRAMS)
+if USE_ECMULT_STATIC_PRECOMPUTATION
+CPPFLAGS_FOR_BUILD +=-I$(top_srcdir)
 
-precompute_ecmult_SOURCES = src/precompute_ecmult.c
-precompute_ecmult_CPPFLAGS = $(SECP_INCLUDES)
-precompute_ecmult_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+gen_context_OBJECTS = gen_context.o
+gen_context_BIN = gen_context$(BUILD_EXEEXT)
+gen_%.o: src/gen_%.c
+	$(CC_FOR_BUILD) $(CPPFLAGS_FOR_BUILD) $(CFLAGS_FOR_BUILD) -c $< -o $@
 
-precompute_ecmult_gen_SOURCES = src/precompute_ecmult_gen.c
-precompute_ecmult_gen_CPPFLAGS = $(SECP_INCLUDES)
-precompute_ecmult_gen_LDADD = $(SECP_LIBS) $(COMMON_LIB)
+$(gen_context_BIN): $(gen_context_OBJECTS)
+	$(CC_FOR_BUILD) $(CFLAGS_FOR_BUILD) $(LDFLAGS_FOR_BUILD) $^ -o $@
 
-# See Automake manual, Section "Errors with distclean".
-# We don't list any dependencies for the prebuilt files here because
-# otherwise make's decision whether to rebuild them (even in the first
-# build by a normal user) depends on mtimes, and thus is very fragile.
-# This means that rebuilds of the prebuilt files always need to be
-# forced by deleting them, e.g., by invoking `make clean-precomp`.
-src/precomputed_ecmult.c:
-	$(MAKE) $(AM_MAKEFLAGS) precompute_ecmult$(EXEEXT)
-	./precompute_ecmult$(EXEEXT)
-src/precomputed_ecmult_gen.c:
-	$(MAKE) $(AM_MAKEFLAGS) precompute_ecmult_gen$(EXEEXT)
-	./precompute_ecmult_gen$(EXEEXT)
+$(libsecp256k1_la_OBJECTS): src/ecmult_static_context.h
+$(tests_OBJECTS): src/ecmult_static_context.h
+$(bench_internal_OBJECTS): src/ecmult_static_context.h
+$(bench_ecmult_OBJECTS): src/ecmult_static_context.h
 
-PRECOMP = src/precomputed_ecmult_gen.c src/precomputed_ecmult.c
-precomp: $(PRECOMP)
+src/ecmult_static_context.h: $(gen_context_BIN)
+	./$(gen_context_BIN)
 
-# Ensure the prebuilt files will be build first (only if they don't exist,
-# e.g., after `make maintainer-clean`).
-BUILT_SOURCES = $(PRECOMP)
+CLEANFILES = $(gen_context_BIN) src/ecmult_static_context.h $(JAVAROOT)/$(JAVAORG)/*.class .stamp-java
+endif
 
-maintainer-clean-local: clean-precomp
-
-clean-precomp:
-	rm -f $(PRECOMP)
-
-EXTRA_DIST = autogen.sh SECURITY.md
+EXTRA_DIST = autogen.sh src/gen_context.c src/basic-config.h $(JAVA_FILES)
 
 if ENABLE_MODULE_ECDH
 include src/modules/ecdh/Makefile.am.include
 endif
 
+if ENABLE_MODULE_SCHNORRSIG
+include src/modules/schnorrsig/Makefile.am.include
+endif
+
 if ENABLE_MODULE_MUSIG
 include src/modules/musig/Makefile.am.include
 endif
@@ -253,19 +205,3 @@ endif
 if ENABLE_MODULE_SURJECTIONPROOF
 include src/modules/surjection/Makefile.am.include
 endif
-
-if ENABLE_MODULE_EXTRAKEYS
-include src/modules/extrakeys/Makefile.am.include
-endif
-
-if ENABLE_MODULE_SCHNORRSIG
-include src/modules/schnorrsig/Makefile.am.include
-endif
-
-if ENABLE_MODULE_ECDSA_S2C
-include src/modules/ecdsa_s2c/Makefile.am.include
-endif
-
-if ENABLE_MODULE_ECDSA_ADAPTOR
-include src/modules/ecdsa_adaptor/Makefile.am.include
-endif

README.md

@@ -1,26 +1,19 @@
 libsecp256k1
 ============
 
-[![Build Status](https://api.cirrus-ci.com/github/bitcoin-core/secp256k1.svg?branch=master)](https://cirrus-ci.com/github/bitcoin-core/secp256k1)
+[![Build Status](https://travis-ci.org/bitcoin-core/secp256k1.svg?branch=master)](https://travis-ci.org/bitcoin-core/secp256k1)
 
-Optimized C library for ECDSA signatures and secret/public key operations on curve secp256k1.
+Optimized C library for EC operations on curve secp256k1.
 
-This library is intended to be the highest quality publicly available library for cryptography on the secp256k1 curve. However, the primary focus of its development has been for usage in the Bitcoin system and usage unlike Bitcoin's may be less well tested, verified, or suffer from a less well thought out interface. Correct usage requires some care and consideration that the library is fit for your application's purpose.
+This library is a work in progress and is being used to research best practices. Use at your own risk.
 
 Features:
 * secp256k1 ECDSA signing/verification and key generation.
-* Additive and multiplicative tweaking of secret/public keys.
-* Serialization/parsing of secret keys, public keys, signatures.
-* Constant time, constant memory access signing and public key generation.
-* Derandomized ECDSA (via RFC6979 or with a caller provided function.)
+* Adding/multiplying private/public keys.
+* Serialization/parsing of private keys, public keys, signatures.
+* Constant time, constant memory access signing and pubkey generation.
+* Derandomized DSA (via RFC6979 or with a caller provided function.)
 * Very efficient implementation.
-* Suitable for embedded systems.
-* Optional module for public key recovery.
-* Optional module for ECDH key exchange.
-* Optional module for Schnorr signatures according to [BIP-340](https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki).
-* Optional module for ECDSA adaptor signatures (experimental).
-
-Experimental features have not received enough scrutiny to satisfy the standard of quality of this library but are made available for testing and review by the community. The APIs of these features should not be considered stable.
 
 Implementation details
 ----------------------
@@ -30,18 +23,16 @@ Implementation details
   * Extensive testing infrastructure.
   * Structured to facilitate review and analysis.
   * Intended to be portable to any system with a C89 compiler and uint64_t support.
-  * No use of floating types.
   * Expose only higher level interfaces to minimize the API surface and improve application security. ("Be difficult to use insecurely.")
 * Field operations
   * Optimized implementation of arithmetic modulo the curve's field size (2^256 - 0x1000003D1).
     * Using 5 52-bit limbs (including hand-optimized assembly for x86_64, by Diederik Huys).
-    * Using 10 26-bit limbs (including hand-optimized assembly for 32-bit ARM, by Wladimir J. van der Laan).
-      * This is an experimental feature that has not received enough scrutiny to satisfy the standard of quality of this library but is made available for testing and review by the community.
+    * Using 10 26-bit limbs.
+  * Field inverses and square roots using a sliding window over blocks of 1s (by Peter Dettman).
 * Scalar operations
   * Optimized implementation without data-dependent branches of arithmetic modulo the curve's order.
     * Using 4 64-bit limbs (relying on __int128 support in the compiler).
     * Using 8 32-bit limbs.
-* Modular inverses (both field elements and scalars) based on [safegcd](https://gcd.cr.yp.to/index.html) with some modifications, and a variable-time variant (by Peter Dettman).
 * Group operations
   * Point addition formula specifically simplified for the curve equation (y^2 = x^3 + 7).
   * Use addition between points in Jacobian and affine coordinates where possible.
@@ -51,14 +42,14 @@ Implementation details
   * Use wNAF notation for point multiplicands.
   * Use a much larger window for multiples of G, using precomputed multiples.
   * Use Shamir's trick to do the multiplication with the public key and the generator simultaneously.
-  * Use secp256k1's efficiently-computable endomorphism to split the P multiplicand into 2 half-sized ones.
+  * Optionally (off by default) use secp256k1's efficiently-computable endomorphism to split the P multiplicand into 2 half-sized ones.
 * Point multiplication for signing
   * Use a precomputed table of multiples of powers of 16 multiplied with the generator, so general multiplication becomes a series of additions.
   * Intended to be completely free of timing sidechannels for secret-key operations (on reasonable hardware/toolchains)
     * Access the table with branch-free conditional moves so memory access is uniform.
     * No data-dependent branches
   * Optional runtime blinding which attempts to frustrate differential power analysis.
-  * The precomputed tables add and eventually subtract points for which no known scalar (secret key) is known, preventing even an attacker with control over the secret key used to control the data internally.
+  * The precomputed tables add and eventually subtract points for which no known scalar (private key) is known, preventing even an attacker with control over the private key used to control the data internally.
 
 Build steps
 -----------
@@ -68,54 +59,5 @@ libsecp256k1 is built using autotools:
     $ ./autogen.sh
     $ ./configure
     $ make
-    $ make check  # run the test suite
+    $ ./tests
     $ sudo make install  # optional
-
-To compile optional modules (such as Schnorr signatures), you need to run `./configure` with additional flags (such as `--enable-module-schnorrsig`). Run `./configure --help` to see the full list of available flags.
-
-Usage examples
------------
-  Usage examples can be found in the [examples](examples) directory. To compile them you need to configure with `--enable-examples`.
-  * [ECDSA example](examples/ecdsa.c)
-  * [Schnorr signatures example](examples/schnorr.c)
-  * [Deriving a shared secret (ECDH) example](examples/ecdh.c)
-  To compile the Schnorr signature and ECDH examples, you also need to configure with `--enable-module-schnorrsig` and `--enable-module-ecdh`.
-
-Test coverage
------------
-
-This library aims to have full coverage of the reachable lines and branches.
-
-To create a test coverage report, configure with `--enable-coverage` (use of GCC is necessary):
-
-    $ ./configure --enable-coverage
-
-Run the tests:
-
-    $ make check
-
-To create a report, `gcovr` is recommended, as it includes branch coverage reporting:
-
-    $ gcovr --exclude 'src/bench*' --print-summary
-
-To create a HTML report with coloured and annotated source code:
-
-    $ mkdir -p coverage
-    $ gcovr --exclude 'src/bench*' --html --html-details -o coverage/coverage.html
-
-Benchmark
-------------
-If configured with `--enable-benchmark` (which is the default), binaries for benchmarking the libsecp256k1 functions will be present in the root directory after the build.
-
-To print the benchmark result to the command line:
-
-    $ ./bench_name
-
-To create a CSV file for the benchmark result :
-
-    $ ./bench_name | sed '2d;s/ \{1,\}//g' > bench_name.csv
-
-Reporting a vulnerability
-------------
-
-See [SECURITY.md](SECURITY.md)

SECURITY.md

@@ -1,15 +0,0 @@
-# Security Policy
-
-## Reporting a Vulnerability
-
-To report security issues send an email to secp256k1-security@bitcoincore.org (not for support).
-
-The following keys may be used to communicate sensitive information to developers:
-
-| Name | Fingerprint |
-|------|-------------|
-| Pieter Wuille | 133E AC17 9436 F14A 5CF1  B794 860F EB80 4E66 9320 |
-| Jonas Nick | 36C7 1A37 C9D9 88BD E825  08D9 B1A7 0E4F 8DCD 0366 |
-| Tim Ruffing | 09E0 3F87 1092 E40E 106E  902B 33BC 86AB 80FF 5516 |
-
-You can import a key by running the following command with that individual’s fingerprint: `gpg --keyserver hkps://keys.openpgp.org --recv-keys "<fingerprint>"` Ensure that you put quotes around fingerprints containing spaces.

TODO

@@ -0,0 +1,3 @@
+* Unit tests for fieldelem/groupelem, including ones intended to
+  trigger fieldelem's boundary cases.
+* Complete constant-time operations for signing/keygen

build-aux/m4/ax_jni_include_dir.m4

@@ -0,0 +1,145 @@
+# ===========================================================================
+#    https://www.gnu.org/software/autoconf-archive/ax_jni_include_dir.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+#   AX_JNI_INCLUDE_DIR
+#
+# DESCRIPTION
+#
+#   AX_JNI_INCLUDE_DIR finds include directories needed for compiling
+#   programs using the JNI interface.
+#
+#   JNI include directories are usually in the Java distribution. This is
+#   deduced from the value of $JAVA_HOME, $JAVAC, or the path to "javac", in
+#   that order. When this macro completes, a list of directories is left in
+#   the variable JNI_INCLUDE_DIRS.
+#
+#   Example usage follows:
+#
+#     AX_JNI_INCLUDE_DIR
+#
+#     for JNI_INCLUDE_DIR in $JNI_INCLUDE_DIRS
+#     do
+#             CPPFLAGS="$CPPFLAGS -I$JNI_INCLUDE_DIR"
+#     done
+#
+#   If you want to force a specific compiler:
+#
+#   - at the configure.in level, set JAVAC=yourcompiler before calling
+#   AX_JNI_INCLUDE_DIR
+#
+#   - at the configure level, setenv JAVAC
+#
+#   Note: This macro can work with the autoconf M4 macros for Java programs.
+#   This particular macro is not part of the original set of macros.
+#
+# LICENSE
+#
+#   Copyright (c) 2008 Don Anderson <dda@sleepycat.com>
+#
+#   Copying and distribution of this file, with or without modification, are
+#   permitted in any medium without royalty provided the copyright notice
+#   and this notice are preserved. This file is offered as-is, without any
+#   warranty.
+
+#serial 14
+
+AU_ALIAS([AC_JNI_INCLUDE_DIR], [AX_JNI_INCLUDE_DIR])
+AC_DEFUN([AX_JNI_INCLUDE_DIR],[
+
+JNI_INCLUDE_DIRS=""
+
+if test "x$JAVA_HOME" != x; then
+	_JTOPDIR="$JAVA_HOME"
+else
+	if test "x$JAVAC" = x; then
+		JAVAC=javac
+	fi
+	AC_PATH_PROG([_ACJNI_JAVAC], [$JAVAC], [no])
+	if test "x$_ACJNI_JAVAC" = xno; then
+		AC_MSG_WARN([cannot find JDK; try setting \$JAVAC or \$JAVA_HOME])
+	fi
+	_ACJNI_FOLLOW_SYMLINKS("$_ACJNI_JAVAC")
+	_JTOPDIR=`echo "$_ACJNI_FOLLOWED" | sed -e 's://*:/:g' -e 's:/[[^/]]*$::'`
+fi
+
+case "$host_os" in
+        darwin*)        # Apple Java headers are inside the Xcode bundle.
+            macos_version=$(sw_vers -productVersion | sed -n -e 's/^@<:@0-9@:>@*.\(@<:@0-9@:>@*\).@<:@0-9@:>@*/\1/p')
+            if @<:@ "$macos_version" -gt "7" @:>@; then
+                _JTOPDIR="$(xcrun --show-sdk-path)/System/Library/Frameworks/JavaVM.framework"
+                _JINC="$_JTOPDIR/Headers"
+            else
+                _JTOPDIR="/System/Library/Frameworks/JavaVM.framework"
+                _JINC="$_JTOPDIR/Headers"
+            fi
+            ;;
+        *) _JINC="$_JTOPDIR/include";;
+esac
+_AS_ECHO_LOG([_JTOPDIR=$_JTOPDIR])
+_AS_ECHO_LOG([_JINC=$_JINC])
+
+# On Mac OS X 10.6.4, jni.h is a symlink:
+# /System/Library/Frameworks/JavaVM.framework/Versions/Current/Headers/jni.h
+# -> ../../CurrentJDK/Headers/jni.h.
+AC_CACHE_CHECK(jni headers, ac_cv_jni_header_path,
+[
+  if test -f "$_JINC/jni.h"; then
+    ac_cv_jni_header_path="$_JINC"
+    JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path"
+  else
+    _JTOPDIR=`echo "$_JTOPDIR" | sed -e 's:/[[^/]]*$::'`
+    if test -f "$_JTOPDIR/include/jni.h"; then
+      ac_cv_jni_header_path="$_JTOPDIR/include"
+      JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $ac_cv_jni_header_path"
+    else
+      ac_cv_jni_header_path=none
+    fi
+  fi
+])
+
+# get the likely subdirectories for system specific java includes
+case "$host_os" in
+bsdi*)          _JNI_INC_SUBDIRS="bsdos";;
+freebsd*)       _JNI_INC_SUBDIRS="freebsd";;
+darwin*)        _JNI_INC_SUBDIRS="darwin";;
+linux*)         _JNI_INC_SUBDIRS="linux genunix";;
+osf*)           _JNI_INC_SUBDIRS="alpha";;
+solaris*)       _JNI_INC_SUBDIRS="solaris";;
+mingw*)		_JNI_INC_SUBDIRS="win32";;
+cygwin*)	_JNI_INC_SUBDIRS="win32";;
+*)              _JNI_INC_SUBDIRS="genunix";;
+esac
+
+if test "x$ac_cv_jni_header_path" != "xnone"; then
+  # add any subdirectories that are present
+  for JINCSUBDIR in $_JNI_INC_SUBDIRS
+  do
+    if test -d "$_JTOPDIR/include/$JINCSUBDIR"; then
+         JNI_INCLUDE_DIRS="$JNI_INCLUDE_DIRS $_JTOPDIR/include/$JINCSUBDIR"
+    fi
+  done
+fi
+])
+
+# _ACJNI_FOLLOW_SYMLINKS <path>
+# Follows symbolic links on <path>,
+# finally setting variable _ACJNI_FOLLOWED
+# ----------------------------------------
+AC_DEFUN([_ACJNI_FOLLOW_SYMLINKS],[
+# find the include directory relative to the javac executable
+_cur="$1"
+while ls -ld "$_cur" 2>/dev/null | grep " -> " >/dev/null; do
+        AC_MSG_CHECKING([symlink for $_cur])
+        _slink=`ls -ld "$_cur" | sed 's/.* -> //'`
+        case "$_slink" in
+        /*) _cur="$_slink";;
+        # 'X' avoids triggering unwanted echo options.
+        *) _cur=`echo "X$_cur" | sed -e 's/^X//' -e 's:[[^/]]*$::'`"$_slink";;
+        esac
+        AC_MSG_RESULT([$_cur])
+done
+_ACJNI_FOLLOWED="$_cur"
+])# _ACJNI

build-aux/m4/ax_prog_cc_for_build.m4

@@ -0,0 +1,125 @@
+# ===========================================================================
+#   http://www.gnu.org/software/autoconf-archive/ax_prog_cc_for_build.html
+# ===========================================================================
+#
+# SYNOPSIS
+#
+#   AX_PROG_CC_FOR_BUILD
+#
+# DESCRIPTION
+#
+#   This macro searches for a C compiler that generates native executables,
+#   that is a C compiler that surely is not a cross-compiler. This can be
+#   useful if you have to generate source code at compile-time like for
+#   example GCC does.
+#
+#   The macro sets the CC_FOR_BUILD and CPP_FOR_BUILD macros to anything
+#   needed to compile or link (CC_FOR_BUILD) and preprocess (CPP_FOR_BUILD).
+#   The value of these variables can be overridden by the user by specifying
+#   a compiler with an environment variable (like you do for standard CC).
+#
+#   It also sets BUILD_EXEEXT and BUILD_OBJEXT to the executable and object
+#   file extensions for the build platform, and GCC_FOR_BUILD to `yes' if
+#   the compiler we found is GCC. All these variables but GCC_FOR_BUILD are
+#   substituted in the Makefile.
+#
+# LICENSE
+#
+#   Copyright (c) 2008 Paolo Bonzini <bonzini@gnu.org>
+#
+#   Copying and distribution of this file, with or without modification, are
+#   permitted in any medium without royalty provided the copyright notice
+#   and this notice are preserved. This file is offered as-is, without any
+#   warranty.
+
+#serial 8
+
+AU_ALIAS([AC_PROG_CC_FOR_BUILD], [AX_PROG_CC_FOR_BUILD])
+AC_DEFUN([AX_PROG_CC_FOR_BUILD], [dnl
+AC_REQUIRE([AC_PROG_CC])dnl
+AC_REQUIRE([AC_PROG_CPP])dnl
+AC_REQUIRE([AC_EXEEXT])dnl
+AC_REQUIRE([AC_CANONICAL_HOST])dnl
+
+dnl Use the standard macros, but make them use other variable names
+dnl
+pushdef([ac_cv_prog_CPP], ac_cv_build_prog_CPP)dnl
+pushdef([ac_cv_prog_gcc], ac_cv_build_prog_gcc)dnl
+pushdef([ac_cv_prog_cc_works], ac_cv_build_prog_cc_works)dnl
+pushdef([ac_cv_prog_cc_cross], ac_cv_build_prog_cc_cross)dnl
+pushdef([ac_cv_prog_cc_g], ac_cv_build_prog_cc_g)dnl
+pushdef([ac_cv_exeext], ac_cv_build_exeext)dnl
+pushdef([ac_cv_objext], ac_cv_build_objext)dnl
+pushdef([ac_exeext], ac_build_exeext)dnl
+pushdef([ac_objext], ac_build_objext)dnl
+pushdef([CC], CC_FOR_BUILD)dnl
+pushdef([CPP], CPP_FOR_BUILD)dnl
+pushdef([CFLAGS], CFLAGS_FOR_BUILD)dnl
+pushdef([CPPFLAGS], CPPFLAGS_FOR_BUILD)dnl
+pushdef([LDFLAGS], LDFLAGS_FOR_BUILD)dnl
+pushdef([host], build)dnl
+pushdef([host_alias], build_alias)dnl
+pushdef([host_cpu], build_cpu)dnl
+pushdef([host_vendor], build_vendor)dnl
+pushdef([host_os], build_os)dnl
+pushdef([ac_cv_host], ac_cv_build)dnl
+pushdef([ac_cv_host_alias], ac_cv_build_alias)dnl
+pushdef([ac_cv_host_cpu], ac_cv_build_cpu)dnl
+pushdef([ac_cv_host_vendor], ac_cv_build_vendor)dnl
+pushdef([ac_cv_host_os], ac_cv_build_os)dnl
+pushdef([ac_cpp], ac_build_cpp)dnl
+pushdef([ac_compile], ac_build_compile)dnl
+pushdef([ac_link], ac_build_link)dnl
+
+save_cross_compiling=$cross_compiling
+save_ac_tool_prefix=$ac_tool_prefix
+cross_compiling=no
+ac_tool_prefix=
+
+AC_PROG_CC
+AC_PROG_CPP
+AC_EXEEXT
+
+ac_tool_prefix=$save_ac_tool_prefix
+cross_compiling=$save_cross_compiling
+
+dnl Restore the old definitions
+dnl
+popdef([ac_link])dnl
+popdef([ac_compile])dnl
+popdef([ac_cpp])dnl
+popdef([ac_cv_host_os])dnl
+popdef([ac_cv_host_vendor])dnl
+popdef([ac_cv_host_cpu])dnl
+popdef([ac_cv_host_alias])dnl
+popdef([ac_cv_host])dnl
+popdef([host_os])dnl
+popdef([host_vendor])dnl
+popdef([host_cpu])dnl
+popdef([host_alias])dnl
+popdef([host])dnl
+popdef([LDFLAGS])dnl
+popdef([CPPFLAGS])dnl
+popdef([CFLAGS])dnl
+popdef([CPP])dnl
+popdef([CC])dnl
+popdef([ac_objext])dnl
+popdef([ac_exeext])dnl
+popdef([ac_cv_objext])dnl
+popdef([ac_cv_exeext])dnl
+popdef([ac_cv_prog_cc_g])dnl
+popdef([ac_cv_prog_cc_cross])dnl
+popdef([ac_cv_prog_cc_works])dnl
+popdef([ac_cv_prog_gcc])dnl
+popdef([ac_cv_prog_CPP])dnl
+
+dnl Finally, set Makefile variables
+dnl
+BUILD_EXEEXT=$ac_build_exeext
+BUILD_OBJEXT=$ac_build_objext
+AC_SUBST(BUILD_EXEEXT)dnl
+AC_SUBST(BUILD_OBJEXT)dnl
+AC_SUBST([CFLAGS_FOR_BUILD])dnl
+AC_SUBST([CPPFLAGS_FOR_BUILD])dnl
+AC_SUBST([LDFLAGS_FOR_BUILD])dnl
+])

build-aux/m4/bitcoin_secp.m4

@@ -1,3 +1,8 @@
+dnl libsecp25k1 helper checks
+AC_DEFUN([SECP_INT128_CHECK],[
+has_int128=$ac_cv_type___int128
+])
+
 dnl escape "$0x" below using the m4 quadrigaph @S|@, and escape it again with a \ for the shell.
 AC_DEFUN([SECP_64BIT_ASM_CHECK],[
 AC_MSG_CHECKING(for x86_64 assembly availability)
@@ -9,45 +14,55 @@ AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
 AC_MSG_RESULT([$has_64bit_asm])
 ])
 
-AC_DEFUN([SECP_VALGRIND_CHECK],[
-if test x"$has_valgrind" != x"yes"; then
-  CPPFLAGS_TEMP="$CPPFLAGS"
-  CPPFLAGS="$VALGRIND_CPPFLAGS $CPPFLAGS"
+dnl
+AC_DEFUN([SECP_OPENSSL_CHECK],[
+  has_libcrypto=no
+  m4_ifdef([PKG_CHECK_MODULES],[
+    PKG_CHECK_MODULES([CRYPTO], [libcrypto], [has_libcrypto=yes],[has_libcrypto=no])
+    if test x"$has_libcrypto" = x"yes"; then
+      TEMP_LIBS="$LIBS"
+      LIBS="$LIBS $CRYPTO_LIBS"
+      AC_CHECK_LIB(crypto, main,[AC_DEFINE(HAVE_LIBCRYPTO,1,[Define this symbol if libcrypto is installed])],[has_libcrypto=no])
+      LIBS="$TEMP_LIBS"
+    fi
+  ])
+  if test x$has_libcrypto = xno; then
+    AC_CHECK_HEADER(openssl/crypto.h,[
+      AC_CHECK_LIB(crypto, main,[
+        has_libcrypto=yes
+        CRYPTO_LIBS=-lcrypto
+        AC_DEFINE(HAVE_LIBCRYPTO,1,[Define this symbol if libcrypto is installed])
+      ])
+    ])
+    LIBS=
+  fi
+if test x"$has_libcrypto" = x"yes" && test x"$has_openssl_ec" = x; then
+  AC_MSG_CHECKING(for EC functions in libcrypto)
   AC_COMPILE_IFELSE([AC_LANG_PROGRAM([[
-    #include <valgrind/memcheck.h>
-  ]], [[
-    #if defined(NVALGRIND)
-    #  error "Valgrind does not support this platform."
-    #endif
-  ]])], [has_valgrind=yes; AC_DEFINE(HAVE_VALGRIND,1,[Define this symbol if valgrind is installed, and it supports the host platform])])
+    #include <openssl/ec.h>
+    #include <openssl/ecdsa.h>
+    #include <openssl/obj_mac.h>]],[[
+    EC_KEY *eckey = EC_KEY_new_by_curve_name(NID_secp256k1);
+    ECDSA_sign(0, NULL, 0, NULL, NULL, eckey);
+    ECDSA_verify(0, NULL, 0, NULL, 0, eckey);
+    EC_KEY_free(eckey);
+    ECDSA_SIG *sig_openssl;
+    sig_openssl = ECDSA_SIG_new();
+    ECDSA_SIG_free(sig_openssl);
+  ]])],[has_openssl_ec=yes],[has_openssl_ec=no])
+  AC_MSG_RESULT([$has_openssl_ec])
 fi
 ])
 
-dnl SECP_TRY_APPEND_CFLAGS(flags, VAR)
-dnl Append flags to VAR if CC accepts them.
-AC_DEFUN([SECP_TRY_APPEND_CFLAGS], [
-  AC_MSG_CHECKING([if ${CC} supports $1])
-  SECP_TRY_APPEND_CFLAGS_saved_CFLAGS="$CFLAGS"
-  CFLAGS="$1 $CFLAGS"
-  AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])], [flag_works=yes], [flag_works=no])
-  AC_MSG_RESULT($flag_works)
-  CFLAGS="$SECP_TRY_APPEND_CFLAGS_saved_CFLAGS"
-  if test x"$flag_works" = x"yes"; then
-    $2="$$2 $1"
-  fi
-  unset flag_works
-  AC_SUBST($2)
-])
-
-dnl SECP_SET_DEFAULT(VAR, default, default-dev-mode)
-dnl Set VAR to default or default-dev-mode, depending on whether dev mode is enabled
-AC_DEFUN([SECP_SET_DEFAULT], [
-  if test "${enable_dev_mode+set}" != set; then
-    AC_MSG_ERROR([[Set enable_dev_mode before calling SECP_SET_DEFAULT]])
-  fi
-  if test x"$enable_dev_mode" = x"yes"; then
-    $1="$3"
-  else
-    $1="$2"
-  fi
+dnl
+AC_DEFUN([SECP_GMP_CHECK],[
+if test x"$has_gmp" != x"yes"; then
+  CPPFLAGS_TEMP="$CPPFLAGS"
+  CPPFLAGS="$GMP_CPPFLAGS $CPPFLAGS"
+  LIBS_TEMP="$LIBS"
+  LIBS="$GMP_LIBS $LIBS"
+  AC_CHECK_HEADER(gmp.h,[AC_CHECK_LIB(gmp, __gmpz_init,[has_gmp=yes; GMP_LIBS="$GMP_LIBS -lgmp"; AC_DEFINE(HAVE_LIBGMP,1,[Define this symbol if libgmp is installed])])])
+  CPPFLAGS="$CPPFLAGS_TEMP"
+  LIBS="$LIBS_TEMP"
+fi
 ])

ci/cirrus.sh

@@ -1,71 +0,0 @@
-#!/bin/sh
-
-set -e
-set -x
-
-export LC_ALL=C
-
-env >> test_env.log
-
-$CC -v || true
-valgrind --version || true
-
-./autogen.sh
-
-./configure \
-    --enable-experimental="$EXPERIMENTAL" \
-    --with-test-override-wide-multiply="$WIDEMUL" --with-asm="$ASM" \
-    --with-ecmult-window="$ECMULTWINDOW" \
-    --with-ecmult-gen-precision="$ECMULTGENPRECISION" \
-    --enable-module-ecdh="$ECDH" --enable-module-recovery="$RECOVERY" \
-    --enable-module-ecdsa-s2c="$ECDSA_S2C" \
-    --enable-module-rangeproof="$RANGEPROOF" --enable-module-whitelist="$WHITELIST" --enable-module-generator="$GENERATOR" \
-    --enable-module-schnorrsig="$SCHNORRSIG"  --enable-module-musig="$MUSIG" --enable-module-ecdsa-adaptor="$ECDSAADAPTOR" \
-    --enable-module-schnorrsig="$SCHNORRSIG" \
-    --enable-examples="$EXAMPLES" \
-    --with-valgrind="$WITH_VALGRIND" \
-    --host="$HOST" $EXTRAFLAGS
-
-# We have set "-j<n>" in MAKEFLAGS.
-make
-
-# Print information about binaries so that we can see that the architecture is correct
-file *tests* || true
-file bench* || true
-file .libs/* || true
-
-# This tells `make check` to wrap test invocations.
-export LOG_COMPILER="$WRAPPER_CMD"
-
-make "$BUILD"
-
-if [ "$BENCH" = "yes" ]
-then
-    # Using the local `libtool` because on macOS the system's libtool has nothing to do with GNU libtool
-    EXEC='./libtool --mode=execute'
-    if [ -n "$WRAPPER_CMD" ]
-    then
-        EXEC="$EXEC $WRAPPER_CMD"
-    fi
-    {
-        $EXEC ./bench_ecmult
-        $EXEC ./bench_internal
-        $EXEC ./bench
-    } >> bench.log 2>&1
-fi
-
-if [ "$CTIMETEST" = "yes" ]
-then
-    ./libtool --mode=execute valgrind --error-exitcode=42 ./valgrind_ctime_test > valgrind_ctime_test.log 2>&1
-fi
-
-# Rebuild precomputed files (if not cross-compiling).
-if [ -z "$HOST" ]
-then
-    make clean-precomp
-    make precomp
-fi
-
-# Check that no repo files have been modified by the build.
-# (This fails for example if the precomp files need to be updated in the repo.)
-git diff --exit-code

ci/linux-debian.Dockerfile

@@ -1,26 +0,0 @@
-FROM debian:stable
-
-RUN dpkg --add-architecture i386
-RUN dpkg --add-architecture s390x
-RUN dpkg --add-architecture armhf
-RUN dpkg --add-architecture arm64
-RUN dpkg --add-architecture ppc64el
-RUN apt-get update
-
-# dkpg-dev: to make pkg-config work in cross-builds
-# llvm: for llvm-symbolizer, which is used by clang's UBSan for symbolized stack traces
-RUN apt-get install --no-install-recommends --no-upgrade -y \
-        git ca-certificates \
-        make automake libtool pkg-config dpkg-dev valgrind qemu-user \
-        gcc clang llvm libc6-dbg \
-        g++ \
-        gcc-i686-linux-gnu libc6-dev-i386-cross libc6-dbg:i386 libubsan1:i386 libasan6:i386 \
-        gcc-s390x-linux-gnu libc6-dev-s390x-cross libc6-dbg:s390x \
-        gcc-arm-linux-gnueabihf libc6-dev-armhf-cross libc6-dbg:armhf \
-        gcc-aarch64-linux-gnu libc6-dev-arm64-cross libc6-dbg:arm64 \
-        gcc-powerpc64le-linux-gnu libc6-dev-ppc64el-cross libc6-dbg:ppc64el \
-        wine gcc-mingw-w64-x86-64 \
-        sagemath
-
-# Run a dummy command in wine to make it set up configuration
-RUN wine64-stable xcopy || true

configure.ac

@@ -1,273 +1,273 @@
 AC_PREREQ([2.60])
-
-# The package (a.k.a. release) version is based on semantic versioning 2.0.0 of
-# the API. All changes in experimental modules are treated as
-# backwards-compatible and therefore at most increase the minor version.
-define(_PKG_VERSION_MAJOR, 0)
-define(_PKG_VERSION_MINOR, 1)
-define(_PKG_VERSION_BUILD, 0)
-define(_PKG_VERSION_IS_RELEASE, false)
-
-# The library version is based on libtool versioning of the ABI. The set of
-# rules for updating the version can be found here:
-# https://www.gnu.org/software/libtool/manual/html_node/Updating-version-info.html
-# All changes in experimental modules are treated as if they don't affect the
-# interface and therefore only increase the revision.
-define(_LIB_VERSION_CURRENT, 0)
-define(_LIB_VERSION_REVISION, 0)
-define(_LIB_VERSION_AGE, 0)
-
-AC_INIT([libsecp256k1],m4_join([.], _PKG_VERSION_MAJOR, _PKG_VERSION_MINOR, _PKG_VERSION_BUILD)m4_if(_PKG_VERSION_IS_RELEASE, [true], [], [-pre]),[https://github.com/bitcoin-core/secp256k1/issues],[libsecp256k1],[https://github.com/bitcoin-core/secp256k1])
-
+AC_INIT([libsecp256k1],[0.1])
 AC_CONFIG_AUX_DIR([build-aux])
 AC_CONFIG_MACRO_DIR([build-aux/m4])
 AC_CANONICAL_HOST
 AH_TOP([#ifndef LIBSECP256K1_CONFIG_H])
 AH_TOP([#define LIBSECP256K1_CONFIG_H])
 AH_BOTTOM([#endif /*LIBSECP256K1_CONFIG_H*/])
+AM_INIT_AUTOMAKE([foreign subdir-objects])
+LT_INIT
 
-# Require Automake 1.11.2 for AM_PROG_AR
-AM_INIT_AUTOMAKE([1.11.2 foreign subdir-objects])
-
-# Make the compilation flags quiet unless V=1 is used.
+dnl make the compilation flags quiet unless V=1 is used
 m4_ifdef([AM_SILENT_RULES], [AM_SILENT_RULES([yes])])
 
-AC_PROG_CC
+PKG_PROG_PKG_CONFIG
+
+AC_PATH_TOOL(AR, ar)
+AC_PATH_TOOL(RANLIB, ranlib)
+AC_PATH_TOOL(STRIP, strip)
+AX_PROG_CC_FOR_BUILD
+
+if test "x$CFLAGS" = "x"; then
+  CFLAGS="-g"
+fi
+
+AM_PROG_CC_C_O
+
+AC_PROG_CC_C89
 if test x"$ac_cv_prog_cc_c89" = x"no"; then
   AC_MSG_ERROR([c89 compiler support required])
 fi
 AM_PROG_AS
-AM_PROG_AR
-
-LT_INIT([win32-dll])
-
-build_windows=no
 
 case $host_os in
   *darwin*)
      if  test x$cross_compiling != xyes; then
-       AC_CHECK_PROG([BREW], brew, brew)
-       if test x$BREW = xbrew; then
-         # These Homebrew packages may be keg-only, meaning that they won't be found
-         # in expected paths because they may conflict with system files. Ask
-         # Homebrew where each one is located, then adjust paths accordingly.
-         if $BREW list --versions valgrind >/dev/null; then
-           valgrind_prefix=$($BREW --prefix valgrind 2>/dev/null)
-           VALGRIND_CPPFLAGS="-I$valgrind_prefix/include"
+       AC_PATH_PROG([BREW],brew,)
+       if test x$BREW != x; then
+         dnl These Homebrew packages may be keg-only, meaning that they won't be found
+         dnl in expected paths because they may conflict with system files. Ask
+         dnl Homebrew where each one is located, then adjust paths accordingly.
+
+         openssl_prefix=`$BREW --prefix openssl 2>/dev/null`
+         gmp_prefix=`$BREW --prefix gmp 2>/dev/null`
+         if test x$openssl_prefix != x; then
+           PKG_CONFIG_PATH="$openssl_prefix/lib/pkgconfig:$PKG_CONFIG_PATH"
+           export PKG_CONFIG_PATH
+         fi
+         if test x$gmp_prefix != x; then
+           GMP_CPPFLAGS="-I$gmp_prefix/include"
+           GMP_LIBS="-L$gmp_prefix/lib"
          fi
        else
-         AC_CHECK_PROG([PORT], port, port)
-         # If homebrew isn't installed and macports is, add the macports default paths
-         # as a last resort.
-         if test x$PORT = xport; then
+         AC_PATH_PROG([PORT],port,)
+         dnl if homebrew isn't installed and macports is, add the macports default paths
+         dnl as a last resort.
+         if test x$PORT != x; then
            CPPFLAGS="$CPPFLAGS -isystem /opt/local/include"
            LDFLAGS="$LDFLAGS -L/opt/local/lib"
          fi
        fi
      fi
    ;;
-   cygwin*|mingw*)
-     build_windows=yes
-   ;;
 esac
 
-# Try if some desirable compiler flags are supported and append them to SECP_CFLAGS.
-#
-# These are our own flags, so we append them to our own SECP_CFLAGS variable (instead of CFLAGS) as
-# recommended in the automake manual (Section "Flag Variables Ordering"). CFLAGS belongs to the user
-# and we are not supposed to touch it. In the Makefile, we will need to ensure that SECP_CFLAGS
-# is prepended to CFLAGS when invoking the compiler so that the user always has the last word (flag).
-#
-# Another advantage of not touching CFLAGS is that the contents of CFLAGS will be picked up by
-# libtool for compiling helper executables. For example, when compiling for Windows, libtool will
-# generate entire wrapper executables (instead of simple wrapper scripts as on Unix) to ensure
-# proper operation of uninstalled programs linked by libtool against the uninstalled shared library.
-# These executables are compiled from C source file for which our flags may not be appropriate,
-# e.g., -std=c89 flag has lead to undesirable warnings in the past.
-#
-# TODO We should analogously not touch CPPFLAGS and LDFLAGS but currently there are no issues.
-AC_DEFUN([SECP_TRY_APPEND_DEFAULT_CFLAGS], [
-    # Try to append -Werror=unknown-warning-option to CFLAGS temporarily. Otherwise clang will
-    # not error out if it gets unknown warning flags and the checks here will always succeed
-    # no matter if clang knows the flag or not.
-    SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS="$CFLAGS"
-    SECP_TRY_APPEND_CFLAGS([-Werror=unknown-warning-option], CFLAGS)
+CFLAGS="$CFLAGS -W"
 
-    SECP_TRY_APPEND_CFLAGS([-std=c89 -pedantic -Wno-long-long -Wnested-externs -Wshadow -Wstrict-prototypes -Wundef], $1) # GCC >= 3.0, -Wlong-long is implied by -pedantic.
-    SECP_TRY_APPEND_CFLAGS([-Wno-overlength-strings], $1) # GCC >= 4.2, -Woverlength-strings is implied by -pedantic.
-    SECP_TRY_APPEND_CFLAGS([-Wall], $1) # GCC >= 2.95 and probably many other compilers
-    SECP_TRY_APPEND_CFLAGS([-Wno-unused-function], $1) # GCC >= 3.0, -Wunused-function is implied by -Wall.
-    SECP_TRY_APPEND_CFLAGS([-Wextra], $1) # GCC >= 3.4, this is the newer name of -W, which we don't use because older GCCs will warn about unused functions.
-    SECP_TRY_APPEND_CFLAGS([-Wcast-align], $1) # GCC >= 2.95
-    SECP_TRY_APPEND_CFLAGS([-Wcast-align=strict], $1) # GCC >= 8.0
-    SECP_TRY_APPEND_CFLAGS([-Wconditional-uninitialized], $1) # Clang >= 3.0 only
-    SECP_TRY_APPEND_CFLAGS([-fvisibility=hidden], $1) # GCC >= 4.0
+warn_CFLAGS="-std=c89 -pedantic -Wall -Wextra -Wcast-align -Wnested-externs -Wshadow -Wstrict-prototypes -Wno-unused-function -Wno-long-long -Wno-overlength-strings"
+saved_CFLAGS="$CFLAGS"
+CFLAGS="$CFLAGS $warn_CFLAGS"
+AC_MSG_CHECKING([if ${CC} supports ${warn_CFLAGS}])
+AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
+    [ AC_MSG_RESULT([yes]) ],
+    [ AC_MSG_RESULT([no])
+      CFLAGS="$saved_CFLAGS"
+    ])
 
-    CFLAGS="$SECP_TRY_APPEND_DEFAULT_CFLAGS_saved_CFLAGS"
-])
-SECP_TRY_APPEND_DEFAULT_CFLAGS(SECP_CFLAGS)
-
-###
-### Define config arguments
-###
-
-# In dev mode, we enable all binaries and modules by default but individual options can still be overridden explicitly.
-# Check for dev mode first because SECP_SET_DEFAULT needs enable_dev_mode set.
-AC_ARG_ENABLE(dev_mode, [], [],
-    [enable_dev_mode=no])
+saved_CFLAGS="$CFLAGS"
+CFLAGS="$CFLAGS -fvisibility=hidden"
+AC_MSG_CHECKING([if ${CC} supports -fvisibility=hidden])
+AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
+    [ AC_MSG_RESULT([yes]) ],
+    [ AC_MSG_RESULT([no])
+      CFLAGS="$saved_CFLAGS"
+    ])
 
 AC_ARG_ENABLE(benchmark,
-    AS_HELP_STRING([--enable-benchmark],[compile benchmark [default=yes]]), [],
-    [SECP_SET_DEFAULT([enable_benchmark], [yes], [yes])])
+    AS_HELP_STRING([--enable-benchmark],[compile benchmark [default=yes]]),
+    [use_benchmark=$enableval],
+    [use_benchmark=yes])
 
 AC_ARG_ENABLE(coverage,
-    AS_HELP_STRING([--enable-coverage],[enable compiler flags to support kcov coverage analysis [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_coverage], [no], [no])])
+    AS_HELP_STRING([--enable-coverage],[enable compiler flags to support kcov coverage analysis [default=no]]),
+    [enable_coverage=$enableval],
+    [enable_coverage=no])
 
 AC_ARG_ENABLE(tests,
-    AS_HELP_STRING([--enable-tests],[compile tests [default=yes]]), [],
-    [SECP_SET_DEFAULT([enable_tests], [yes], [yes])])
+    AS_HELP_STRING([--enable-tests],[compile tests [default=yes]]),
+    [use_tests=$enableval],
+    [use_tests=yes])
+
+AC_ARG_ENABLE(openssl_tests,
+    AS_HELP_STRING([--enable-openssl-tests],[enable OpenSSL tests [default=auto]]),
+    [enable_openssl_tests=$enableval],
+    [enable_openssl_tests=auto])
 
 AC_ARG_ENABLE(experimental,
-    AS_HELP_STRING([--enable-experimental],[allow experimental configure options [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_experimental], [no], [yes])])
+    AS_HELP_STRING([--enable-experimental],[allow experimental configure options [default=no]]),
+    [use_experimental=$enableval],
+    [use_experimental=no])
 
 AC_ARG_ENABLE(exhaustive_tests,
-    AS_HELP_STRING([--enable-exhaustive-tests],[compile exhaustive tests [default=yes]]), [],
-    [SECP_SET_DEFAULT([enable_exhaustive_tests], [yes], [yes])])
+    AS_HELP_STRING([--enable-exhaustive-tests],[compile exhaustive tests [default=yes]]),
+    [use_exhaustive_tests=$enableval],
+    [use_exhaustive_tests=yes])
 
-AC_ARG_ENABLE(examples,
-    AS_HELP_STRING([--enable-examples],[compile the examples [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_examples], [no], [yes])])
+AC_ARG_ENABLE(endomorphism,
+    AS_HELP_STRING([--enable-endomorphism],[enable endomorphism [default=no]]),
+    [use_endomorphism=$enableval],
+    [use_endomorphism=no])
+
+AC_ARG_ENABLE(ecmult_static_precomputation,
+    AS_HELP_STRING([--enable-ecmult-static-precomputation],[enable precomputed ecmult table for signing [default=auto]]),
+    [use_ecmult_static_precomputation=$enableval],
+    [use_ecmult_static_precomputation=auto])
 
 AC_ARG_ENABLE(module_ecdh,
-    AS_HELP_STRING([--enable-module-ecdh],[enable ECDH module [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_module_ecdh], [no], [yes])])
+    AS_HELP_STRING([--enable-module-ecdh],[enable ECDH shared secret computation (experimental)]),
+    [enable_module_ecdh=$enableval],
+    [enable_module_ecdh=no])
+
+AC_ARG_ENABLE(module_schnorrsig,
+    AS_HELP_STRING([--enable-module-schnorrsig],[enable schnorrsig module (experimental)]),
+    [enable_module_schnorrsig=$enableval],
+    [enable_module_schnorrsig=no])
 
 AC_ARG_ENABLE(module_musig,
     AS_HELP_STRING([--enable-module-musig],[enable MuSig module (experimental)]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_musig], [no], [yes])])
+    [enable_module_musig=$enableval],
+    [enable_module_musig=no])
 
 AC_ARG_ENABLE(module_recovery,
-    AS_HELP_STRING([--enable-module-recovery],[enable ECDSA pubkey recovery module [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_module_recovery], [no], [yes])])
+    AS_HELP_STRING([--enable-module-recovery],[enable ECDSA pubkey recovery module [default=no]]),
+    [enable_module_recovery=$enableval],
+    [enable_module_recovery=no])
 
 AC_ARG_ENABLE(module_generator,
     AS_HELP_STRING([--enable-module-generator],[enable NUMS generator module [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_generator], [no], [yes])])
+    [enable_module_generator=$enableval],
+    [enable_module_generator=no])
 
 AC_ARG_ENABLE(module_rangeproof,
     AS_HELP_STRING([--enable-module-rangeproof],[enable Pedersen / zero-knowledge range proofs module [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_rangeproof], [no], [yes])])
+    [enable_module_rangeproof=$enableval],
+    [enable_module_rangeproof=no])
 
 AC_ARG_ENABLE(module_whitelist,
     AS_HELP_STRING([--enable-module-whitelist],[enable key whitelisting module [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_whitelist], [no], [yes])])
-
-AC_ARG_ENABLE(module_extrakeys,
-    AS_HELP_STRING([--enable-module-extrakeys],[enable extrakeys module [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_module_extrakeys], [no], [yes])])
-
-AC_ARG_ENABLE(module_schnorrsig,
-    AS_HELP_STRING([--enable-module-schnorrsig],[enable schnorrsig module [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_module_schnorrsig], [no], [yes])])
-
-AC_ARG_ENABLE(module_ecdsa_s2c,
-    AS_HELP_STRING([--enable-module-ecdsa-s2c],[enable ECDSA sign-to-contract module [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_ecdsa_s2c], [no], [yes])])
-
-AC_ARG_ENABLE(module_ecdsa-adaptor,
-    AS_HELP_STRING([--enable-module-ecdsa-adaptor],[enable ECDSA adaptor module [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_ecdsa_adaptor], [no], [yes])])
+    [enable_module_whitelist=$enableval],
+    [enable_module_whitelist=no])
 
 AC_ARG_ENABLE(external_default_callbacks,
-    AS_HELP_STRING([--enable-external-default-callbacks],[enable external default callback functions [default=no]]), [],
-    [SECP_SET_DEFAULT([enable_external_default_callbacks], [no], [no])])
+    AS_HELP_STRING([--enable-external-default-callbacks],[enable external default callback functions [default=no]]),
+    [use_external_default_callbacks=$enableval],
+    [use_external_default_callbacks=no])
+
+AC_ARG_ENABLE(jni,
+    AS_HELP_STRING([--enable-jni],[enable libsecp256k1_jni [default=no]]),
+    [use_jni=$enableval],
+    [use_jni=no])
 
 AC_ARG_ENABLE(module_surjectionproof,
     AS_HELP_STRING([--enable-module-surjectionproof],[enable surjection proof module [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([enable_module_surjectionproof], [no], [yes])])
+    [enable_module_surjectionproof=$enableval],
+    [enable_module_surjectionproof=no])
 
-AC_ARG_ENABLE(reduced_surjection_proof_size,
-    AS_HELP_STRING([--enable-reduced-surjection-proof-size],[use reduced surjection proof size (disabling parsing and verification) [default=no]]),
-    [],
-    [SECP_SET_DEFAULT([use_reduced_surjection_proof_size], [no], [no])])
+AC_ARG_WITH([field], [AS_HELP_STRING([--with-field=64bit|32bit|auto],
+[finite field implementation to use [default=auto]])],[req_field=$withval], [req_field=auto])
 
-# Test-only override of the (autodetected by the C code) "widemul" setting.
-# Legal values are int64 (for [u]int64_t), int128 (for [unsigned] __int128), and auto (the default).
-AC_ARG_WITH([test-override-wide-multiply], [] ,[set_widemul=$withval], [set_widemul=auto])
+AC_ARG_WITH([bignum], [AS_HELP_STRING([--with-bignum=gmp|no|auto],
+[bignum implementation to use [default=auto]])],[req_bignum=$withval], [req_bignum=auto])
+
+AC_ARG_WITH([scalar], [AS_HELP_STRING([--with-scalar=64bit|32bit|auto],
+[scalar implementation to use [default=auto]])],[req_scalar=$withval], [req_scalar=auto])
 
 AC_ARG_WITH([asm], [AS_HELP_STRING([--with-asm=x86_64|arm|no|auto],
-[assembly optimizations to use (experimental: arm) [default=auto]])],[req_asm=$withval], [req_asm=auto])
+[assembly optimizations to use (experimental: arm) [default=auto]])],[req_asm=$withval], [req_asm=auto])
 
 AC_ARG_WITH([ecmult-window], [AS_HELP_STRING([--with-ecmult-window=SIZE|auto],
 [window size for ecmult precomputation for verification, specified as integer in range [2..24].]
 [Larger values result in possibly better performance at the cost of an exponentially larger precomputed table.]
-[The table will store 2^(SIZE-1) * 64 bytes of data but can be larger in memory due to platform-specific padding and alignment.]
-[A window size larger than 15 will require you delete the prebuilt precomputed_ecmult.c file so that it can be rebuilt.]
-[For very large window sizes, use "make -j 1" to reduce memory use during compilation.]
+[The table will store 2^(SIZE-2) * 64 bytes of data but can be larger in memory due to platform-specific padding and alignment.]
+[If the endomorphism optimization is enabled, two tables of this size are used instead of only one.]
 ["auto" is a reasonable setting for desktop machines (currently 15). [default=auto]]
 )],
 [req_ecmult_window=$withval], [req_ecmult_window=auto])
 
-AC_ARG_WITH([ecmult-gen-precision], [AS_HELP_STRING([--with-ecmult-gen-precision=2|4|8|auto],
-[Precision bits to tune the precomputed table size for signing.]
-[The size of the table is 32kB for 2 bits, 64kB for 4 bits, 512kB for 8 bits of precision.]
-[A larger table size usually results in possible faster signing.]
-["auto" is a reasonable setting for desktop machines (currently 4). [default=auto]]
-)],
-[req_ecmult_gen_precision=$withval], [req_ecmult_gen_precision=auto])
-
-AC_ARG_WITH([valgrind], [AS_HELP_STRING([--with-valgrind=yes|no|auto],
-[Build with extra checks for running inside Valgrind [default=auto]]
-)],
-[req_valgrind=$withval], [req_valgrind=auto])
-
-###
-### Handle config options (except for modules)
-###
-
-if test x"$req_valgrind" = x"no"; then
-  enable_valgrind=no
-else
-  SECP_VALGRIND_CHECK
-  if test x"$has_valgrind" != x"yes"; then
-    if test x"$req_valgrind" = x"yes"; then
-      AC_MSG_ERROR([Valgrind support explicitly requested but valgrind/memcheck.h header not available])
-    fi
-    enable_valgrind=no
-  else
-    enable_valgrind=yes
-  fi
-fi
-AM_CONDITIONAL([VALGRIND_ENABLED],[test "$enable_valgrind" = "yes"])
+AC_CHECK_TYPES([__int128])
 
 if test x"$enable_coverage" = x"yes"; then
     AC_DEFINE(COVERAGE, 1, [Define this symbol to compile out all VERIFY code])
-    SECP_CFLAGS="-O0 --coverage $SECP_CFLAGS"
-    LDFLAGS="--coverage $LDFLAGS"
+    CFLAGS="$CFLAGS -O0 --coverage"
+    LDFLAGS="$LDFLAGS --coverage"
 else
-    # Most likely the CFLAGS already contain -O2 because that is autoconf's default.
-    # We still add it here because passing it twice is not an issue, and handling
-    # this case would just add unnecessary complexity (see #896).
-    SECP_CFLAGS="-O2 $SECP_CFLAGS"
+    CFLAGS="$CFLAGS -O3"
 fi
 
 AC_MSG_CHECKING([for __builtin_popcount])
-AC_LINK_IFELSE([AC_LANG_SOURCE([[void myfunc() {__builtin_popcount(0);}]])],
+AC_COMPILE_IFELSE([AC_LANG_SOURCE([[void myfunc() {__builtin_popcount(0);}]])],
     [ AC_MSG_RESULT([yes]);AC_DEFINE(HAVE_BUILTIN_POPCOUNT,1,[Define this symbol if __builtin_popcount is available]) ],
     [ AC_MSG_RESULT([no])
     ])
 
+if test x"$use_ecmult_static_precomputation" != x"no"; then
+  # Temporarily switch to an environment for the native compiler
+  save_cross_compiling=$cross_compiling
+  cross_compiling=no
+  SAVE_CC="$CC"
+  CC="$CC_FOR_BUILD"
+  SAVE_CFLAGS="$CFLAGS"
+  CFLAGS="$CFLAGS_FOR_BUILD"
+  SAVE_CPPFLAGS="$CPPFLAGS"
+  CPPFLAGS="$CPPFLAGS_FOR_BUILD"
+  SAVE_LDFLAGS="$LDFLAGS"
+  LDFLAGS="$LDFLAGS_FOR_BUILD"
+
+  warn_CFLAGS_FOR_BUILD="-Wall -Wextra -Wno-unused-function"
+  saved_CFLAGS="$CFLAGS"
+  CFLAGS="$CFLAGS $warn_CFLAGS_FOR_BUILD"
+  AC_MSG_CHECKING([if native ${CC_FOR_BUILD} supports ${warn_CFLAGS_FOR_BUILD}])
+  AC_COMPILE_IFELSE([AC_LANG_SOURCE([[char foo;]])],
+      [ AC_MSG_RESULT([yes]) ],
+      [ AC_MSG_RESULT([no])
+        CFLAGS="$saved_CFLAGS"
+      ])
+
+  AC_MSG_CHECKING([for working native compiler: ${CC_FOR_BUILD}])
+  AC_RUN_IFELSE(
+    [AC_LANG_PROGRAM([], [])],
+    [working_native_cc=yes],
+    [working_native_cc=no],[dnl])
+
+  CFLAGS_FOR_BUILD="$CFLAGS"
+
+  # Restore the environment
+  cross_compiling=$save_cross_compiling
+  CC="$SAVE_CC"
+  CFLAGS="$SAVE_CFLAGS"
+  CPPFLAGS="$SAVE_CPPFLAGS"
+  LDFLAGS="$SAVE_LDFLAGS"
+
+  if test x"$working_native_cc" = x"no"; then
+    AC_MSG_RESULT([no])
+    set_precomp=no
+    m4_define([please_set_for_build], [Please set CC_FOR_BUILD, CFLAGS_FOR_BUILD, CPPFLAGS_FOR_BUILD, and/or LDFLAGS_FOR_BUILD.])
+    if test x"$use_ecmult_static_precomputation" = x"yes";  then
+      AC_MSG_ERROR([native compiler ${CC_FOR_BUILD} does not produce working binaries. please_set_for_build])
+    else
+      AC_MSG_WARN([Disabling statically generated ecmult table because the native compiler ${CC_FOR_BUILD} does not produce working binaries. please_set_for_build])
+    fi
+  else
+    AC_MSG_RESULT([yes])
+    set_precomp=yes
+  fi
+else
+  set_precomp=no
+fi
+
 AC_MSG_CHECKING([for  __builtin_clzll])
-AC_LINK_IFELSE([AC_LANG_SOURCE([[void myfunc() { __builtin_clzll(1);}]])],
+AC_COMPILE_IFELSE([AC_LANG_SOURCE([[void myfunc() { __builtin_clzll(1);}]])],
     [ AC_MSG_RESULT([yes]);AC_DEFINE(HAVE_BUILTIN_CLZLL,1,[Define this symbol if  __builtin_clzll is available]) ],
     [ AC_MSG_RESULT([no])
     ])
@@ -299,15 +299,98 @@ else
   esac
 fi
 
-# Select assembly optimization
-enable_external_asm=no
+if test x"$req_field" = x"auto"; then
+  if test x"set_asm" = x"x86_64"; then
+    set_field=64bit
+  fi
+  if test x"$set_field" = x; then
+    SECP_INT128_CHECK
+    if test x"$has_int128" = x"yes"; then
+      set_field=64bit
+    fi
+  fi
+  if test x"$set_field" = x; then
+    set_field=32bit
+  fi
+else
+  set_field=$req_field
+  case $set_field in
+  64bit)
+    if test x"$set_asm" != x"x86_64"; then
+      SECP_INT128_CHECK
+      if test x"$has_int128" != x"yes"; then
+        AC_MSG_ERROR([64bit field explicitly requested but neither __int128 support or x86_64 assembly available])
+      fi
+    fi
+    ;;
+  32bit)
+    ;;
+  *)
+    AC_MSG_ERROR([invalid field implementation selection])
+    ;;
+  esac
+fi
+
+if test x"$req_scalar" = x"auto"; then
+  SECP_INT128_CHECK
+  if test x"$has_int128" = x"yes"; then
+    set_scalar=64bit
+  fi
+  if test x"$set_scalar" = x; then
+    set_scalar=32bit
+  fi
+else
+  set_scalar=$req_scalar
+  case $set_scalar in
+  64bit)
+    SECP_INT128_CHECK
+    if test x"$has_int128" != x"yes"; then
+      AC_MSG_ERROR([64bit scalar explicitly requested but __int128 support not available])
+    fi
+    ;;
+  32bit)
+    ;;
+  *)
+    AC_MSG_ERROR([invalid scalar implementation selected])
+    ;;
+  esac
+fi
+
+if test x"$req_bignum" = x"auto"; then
+  SECP_GMP_CHECK
+  if test x"$has_gmp" = x"yes"; then
+    set_bignum=gmp
+  fi
+
+  if test x"$set_bignum" = x; then
+    set_bignum=no
+  fi
+else
+  set_bignum=$req_bignum
+  case $set_bignum in
+  gmp)
+    SECP_GMP_CHECK
+    if test x"$has_gmp" != x"yes"; then
+      AC_MSG_ERROR([gmp bignum explicitly requested but libgmp not available])
+    fi
+    ;;
+  no)
+    ;;
+  *)
+    AC_MSG_ERROR([invalid bignum implementation selection])
+    ;;
+  esac
+fi
+
+# select assembly optimization
+use_external_asm=no
 
 case $set_asm in
 x86_64)
   AC_DEFINE(USE_ASM_X86_64, 1, [Define this symbol to enable x86_64 assembly optimizations])
   ;;
 arm)
-  enable_external_asm=yes
+  use_external_asm=yes
   ;;
 no)
   ;;
@@ -316,27 +399,51 @@ no)
   ;;
 esac
 
-if test x"$enable_external_asm" = x"yes"; then
-  AC_DEFINE(USE_EXTERNAL_ASM, 1, [Define this symbol if an external (non-inline) assembly implementation is used])
-fi
-
-
-# Select wide multiplication implementation
-case $set_widemul in
-int128)
-  AC_DEFINE(USE_FORCE_WIDEMUL_INT128, 1, [Define this symbol to force the use of the (unsigned) __int128 based wide multiplication implementation])
+# select field implementation
+case $set_field in
+64bit)
+  AC_DEFINE(USE_FIELD_5X52, 1, [Define this symbol to use the FIELD_5X52 implementation])
   ;;
-int64)
-  AC_DEFINE(USE_FORCE_WIDEMUL_INT64, 1, [Define this symbol to force the use of the (u)int64_t based wide multiplication implementation])
-  ;;
-auto)
+32bit)
+  AC_DEFINE(USE_FIELD_10X26, 1, [Define this symbol to use the FIELD_10X26 implementation])
   ;;
 *)
-  AC_MSG_ERROR([invalid wide multiplication implementation])
+  AC_MSG_ERROR([invalid field implementation])
   ;;
 esac
 
-# Set ecmult window size
+# select bignum implementation
+case $set_bignum in
+gmp)
+  AC_DEFINE(HAVE_LIBGMP, 1, [Define this symbol if libgmp is installed])
+  AC_DEFINE(USE_NUM_GMP, 1, [Define this symbol to use the gmp implementation for num])
+  AC_DEFINE(USE_FIELD_INV_NUM, 1, [Define this symbol to use the num-based field inverse implementation])
+  AC_DEFINE(USE_SCALAR_INV_NUM, 1, [Define this symbol to use the num-based scalar inverse implementation])
+  ;;
+no)
+  AC_DEFINE(USE_NUM_NONE, 1, [Define this symbol to use no num implementation])
+  AC_DEFINE(USE_FIELD_INV_BUILTIN, 1, [Define this symbol to use the native field inverse implementation])
+  AC_DEFINE(USE_SCALAR_INV_BUILTIN, 1, [Define this symbol to use the native scalar inverse implementation])
+  ;;
+*)
+  AC_MSG_ERROR([invalid bignum implementation])
+  ;;
+esac
+
+#select scalar implementation
+case $set_scalar in
+64bit)
+  AC_DEFINE(USE_SCALAR_4X64, 1, [Define this symbol to use the 4x64 scalar implementation])
+  ;;
+32bit)
+  AC_DEFINE(USE_SCALAR_8X32, 1, [Define this symbol to use the 8x32 scalar implementation])
+  ;;
+*)
+  AC_MSG_ERROR([invalid scalar implementation])
+  ;;
+esac
+
+#set ecmult window size
 if test x"$req_ecmult_window" = x"auto"; then
   set_ecmult_window=15
 else
@@ -358,201 +465,220 @@ case $set_ecmult_window in
   ;;
 esac
 
-# Set ecmult gen precision
-if test x"$req_ecmult_gen_precision" = x"auto"; then
-  set_ecmult_gen_precision=4
+if test x"$use_tests" = x"yes"; then
+  SECP_OPENSSL_CHECK
+  if test x"$has_openssl_ec" = x"yes"; then
+    if test x"$enable_openssl_tests" != x"no"; then
+      AC_DEFINE(ENABLE_OPENSSL_TESTS, 1, [Define this symbol if OpenSSL EC functions are available])
+      SECP_TEST_INCLUDES="$SSL_CFLAGS $CRYPTO_CFLAGS"
+      SECP_TEST_LIBS="$CRYPTO_LIBS"
+
+      case $host in
+      *mingw*)
+        SECP_TEST_LIBS="$SECP_TEST_LIBS -lgdi32"
+        ;;
+      esac
+    fi
+  else
+    if test x"$enable_openssl_tests" = x"yes"; then
+      AC_MSG_ERROR([OpenSSL tests requested but OpenSSL with EC support is not available])
+    fi
+  fi
 else
-  set_ecmult_gen_precision=$req_ecmult_gen_precision
+  if test x"$enable_openssl_tests" = x"yes"; then
+    AC_MSG_ERROR([OpenSSL tests requested but tests are not enabled])
+  fi
 fi
 
-case $set_ecmult_gen_precision in
-2|4|8)
-  AC_DEFINE_UNQUOTED(ECMULT_GEN_PREC_BITS, $set_ecmult_gen_precision, [Set ecmult gen precision bits])
-  ;;
-*)
-  AC_MSG_ERROR(['ecmult gen precision not 2, 4, 8 or "auto"'])
-  ;;
-esac
-
-if test x"$enable_valgrind" = x"yes"; then
-  SECP_INCLUDES="$SECP_INCLUDES $VALGRIND_CPPFLAGS"
+if test x"$use_jni" != x"no"; then
+  AX_JNI_INCLUDE_DIR
+  have_jni_dependencies=yes
+  if test x"$enable_module_ecdh" = x"no"; then
+    have_jni_dependencies=no
+  fi
+  if test "x$JNI_INCLUDE_DIRS" = "x"; then
+    have_jni_dependencies=no
+  fi
+  if test "x$have_jni_dependencies" = "xno"; then
+    if test x"$use_jni" = x"yes"; then
+      AC_MSG_ERROR([jni support explicitly requested but headers/dependencies were not found. Enable ECDH and try again.])
+    fi
+    AC_MSG_WARN([jni headers/dependencies not found. jni support disabled])
+    use_jni=no
+  else
+    use_jni=yes
+    for JNI_INCLUDE_DIR in $JNI_INCLUDE_DIRS; do
+      JNI_INCLUDES="$JNI_INCLUDES -I$JNI_INCLUDE_DIR"
+    done
+  fi
 fi
 
-# Add -Werror and similar flags passed from the outside (for testing, e.g., in CI)
-SECP_CFLAGS="$SECP_CFLAGS $WERROR_CFLAGS"
+if test x"$set_bignum" = x"gmp"; then
+  SECP_LIBS="$SECP_LIBS $GMP_LIBS"
+  SECP_INCLUDES="$SECP_INCLUDES $GMP_CPPFLAGS"
+fi
 
-###
-### Handle module options
-###
+if test x"$use_endomorphism" = x"yes"; then
+  AC_DEFINE(USE_ENDOMORPHISM, 1, [Define this symbol to use endomorphism optimization])
+fi
 
-# Besides testing whether modules are enabled, the following code also enables
-# module dependencies. The order of the tests matters: the dependency must be
-# tested first.
+if test x"$set_precomp" = x"yes"; then
+  AC_DEFINE(USE_ECMULT_STATIC_PRECOMPUTATION, 1, [Define this symbol to use a statically generated ecmult table])
+fi
 
 if test x"$enable_module_ecdh" = x"yes"; then
   AC_DEFINE(ENABLE_MODULE_ECDH, 1, [Define this symbol to enable the ECDH module])
 fi
 
+if test x"$enable_module_schnorrsig" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_SCHNORRSIG, 1, [Define this symbol to enable the schnorrsig module])
+fi
+
 if test x"$enable_module_musig" = x"yes"; then
   AC_DEFINE(ENABLE_MODULE_MUSIG, 1, [Define this symbol to enable the MuSig module])
-  enable_module_schnorrsig=yes
 fi
 
 if test x"$enable_module_recovery" = x"yes"; then
   AC_DEFINE(ENABLE_MODULE_RECOVERY, 1, [Define this symbol to enable the ECDSA pubkey recovery module])
 fi
 
-if test x"$enable_module_whitelist" = x"yes"; then
-  enable_module_rangeproof=yes
-  AC_DEFINE(ENABLE_MODULE_WHITELIST, 1, [Define this symbol to enable the key whitelisting module])
-fi
-
-if test x"$enable_module_surjectionproof" = x"yes"; then
-  enable_module_rangeproof=yes
-  AC_DEFINE(ENABLE_MODULE_SURJECTIONPROOF, 1, [Define this symbol to enable the surjection proof module])
-fi
-
-if test x"$enable_module_rangeproof" = x"yes"; then
-  enable_module_generator=yes
-  AC_DEFINE(ENABLE_MODULE_RANGEPROOF, 1, [Define this symbol to enable the Pedersen / zero knowledge range proof module])
-fi
-
 if test x"$enable_module_generator" = x"yes"; then
   AC_DEFINE(ENABLE_MODULE_GENERATOR, 1, [Define this symbol to enable the NUMS generator module])
 fi
 
-if test x"$enable_module_schnorrsig" = x"yes"; then
-  AC_DEFINE(ENABLE_MODULE_SCHNORRSIG, 1, [Define this symbol to enable the schnorrsig module])
-  enable_module_extrakeys=yes
+if test x"$enable_module_rangeproof" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_RANGEPROOF, 1, [Define this symbol to enable the Pedersen / zero knowledge range proof module])
 fi
 
-if test x"$enable_module_extrakeys" = x"yes"; then
-  AC_DEFINE(ENABLE_MODULE_EXTRAKEYS, 1, [Define this symbol to enable the extrakeys module])
+if test x"$enable_module_whitelist" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_WHITELIST, 1, [Define this symbol to enable the key whitelisting module])
 fi
 
-if test x"$enable_module_ecdsa_s2c" = x"yes"; then
-  AC_DEFINE(ENABLE_MODULE_ECDSA_S2C, 1, [Define this symbol to enable the ECDSA sign-to-contract module])
+if test x"$enable_module_surjectionproof" = x"yes"; then
+  AC_DEFINE(ENABLE_MODULE_SURJECTIONPROOF, 1, [Define this symbol to enable the surjection proof module])
 fi
 
-if test x"$enable_external_default_callbacks" = x"yes"; then
+AC_C_BIGENDIAN()
+
+if test x"$use_external_asm" = x"yes"; then
+  AC_DEFINE(USE_EXTERNAL_ASM, 1, [Define this symbol if an external (non-inline) assembly implementation is used])
+fi
+
+if test x"$use_external_default_callbacks" = x"yes"; then
   AC_DEFINE(USE_EXTERNAL_DEFAULT_CALLBACKS, 1, [Define this symbol if an external implementation of the default callbacks is used])
 fi
 
-if test x"$use_reduced_surjection_proof_size" = x"yes"; then
-  AC_DEFINE(USE_REDUCED_SURJECTION_PROOF_SIZE, 1, [Define this symbol to reduce SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS to 16, disabling parsing and verification])
-fi
-
-if test x"$enable_module_ecdsa_adaptor" = x"yes"; then
-  AC_DEFINE(ENABLE_MODULE_ECDSA_ADAPTOR, 1, [Define this symbol to enable the ECDSA adaptor module])
-fi
-
-###
-### Check for --enable-experimental if necessary
-###
-
 if test x"$enable_experimental" = x"yes"; then
   AC_MSG_NOTICE([******])
   AC_MSG_NOTICE([WARNING: experimental build])
   AC_MSG_NOTICE([Experimental features do not have stable APIs or properties, and may not be safe for production use.])
+  AC_MSG_NOTICE([Building ECDH module: $enable_module_ecdh])
+  AC_MSG_NOTICE([Building NUMS generator module: $enable_module_generator])
+  AC_MSG_NOTICE([Building range proof module: $enable_module_rangeproof])
+  AC_MSG_NOTICE([Building key whitelisting module: $enable_module_whitelist])
+  AC_MSG_NOTICE([Building surjection proof module: $enable_module_surjectionproof])
+  AC_MSG_NOTICE([Building schnorrsig module: $enable_module_schnorrsig])
+  AC_MSG_NOTICE([Building MuSig module: $enable_module_musig])
   AC_MSG_NOTICE([******])
+
+
+  if test x"$enable_module_schnorrsig" != x"yes"; then
+    if test x"$enable_module_musig" = x"yes"; then
+      AC_MSG_ERROR([MuSig module requires the schnorrsig module. Use --enable-module-schnorrsig to allow.])
+    fi
+  fi
+
+  if test x"$enable_module_generator" != x"yes"; then
+    if test x"$enable_module_rangeproof" = x"yes"; then
+      AC_MSG_ERROR([Rangeproof module requires the generator module. Use --enable-module-generator to allow.])
+    fi
+  fi
+
+  if test x"$enable_module_rangeproof" != x"yes"; then
+    if test x"$enable_module_whitelist" = x"yes"; then
+      AC_MSG_ERROR([Whitelist module requires the rangeproof module. Use --enable-module-rangeproof to allow.])
+    fi
+    if test x"$enable_module_surjectionproof" = x"yes"; then
+      AC_MSG_ERROR([Surjection proof module requires the rangeproof module. Use --enable-module-rangeproof to allow.])
+    fi
+  fi
 else
-  # The order of the following tests matters. If the user enables a dependent
-  # module (which automatically enables the module dependencies) we want to
-  # print an error for the dependent module, not the module dependency. Hence,
-  # we first test dependent modules.
+  if test x"$enable_module_ecdh" = x"yes"; then
+    AC_MSG_ERROR([ECDH module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_schnorrsig" = x"yes"; then
+    AC_MSG_ERROR([schnorrsig module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_musig" = x"yes"; then
+    AC_MSG_ERROR([MuSig module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$set_asm" = x"arm"; then
+    AC_MSG_ERROR([ARM assembly optimization is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_generator" = x"yes"; then
+    AC_MSG_ERROR([NUMS generator module is experimental. Use --enable-experimental to allow.])
+  fi
+  if test x"$enable_module_rangeproof" = x"yes"; then
+    AC_MSG_ERROR([Range proof module is experimental. Use --enable-experimental to allow.])
+  fi
   if test x"$enable_module_whitelist" = x"yes"; then
     AC_MSG_ERROR([Key whitelisting module is experimental. Use --enable-experimental to allow.])
   fi
   if test x"$enable_module_surjectionproof" = x"yes"; then
     AC_MSG_ERROR([Surjection proof module is experimental. Use --enable-experimental to allow.])
   fi
-  if test x"$enable_module_rangeproof" = x"yes"; then
-    AC_MSG_ERROR([Range proof module is experimental. Use --enable-experimental to allow.])
-  fi
-  if test x"$enable_module_generator" = x"yes"; then
-    AC_MSG_ERROR([NUMS generator module is experimental. Use --enable-experimental to allow.])
-  fi
-  if test x"$enable_module_musig" = x"yes"; then
-    AC_MSG_ERROR([MuSig module is experimental. Use --enable-experimental to allow.])
-  fi
-  if test x"$enable_module_ecdsa_s2c" = x"yes"; then
-    AC_MSG_ERROR([ECDSA sign-to-contract module module is experimental. Use --enable-experimental to allow.])
-  fi
-  if test x"$enable_module_ecdsa_adaptor" = x"yes"; then
-    AC_MSG_ERROR([ecdsa adaptor signatures module is experimental. Use --enable-experimental to allow.])
-  fi
-  if test x"$set_asm" = x"arm"; then
-    AC_MSG_ERROR([ARM assembly optimization is experimental. Use --enable-experimental to allow.])
-  fi
 fi
 
-###
-### Generate output
-###
-
 AC_CONFIG_HEADERS([src/libsecp256k1-config.h])
 AC_CONFIG_FILES([Makefile libsecp256k1.pc])
+AC_SUBST(JNI_INCLUDES)
 AC_SUBST(SECP_INCLUDES)
 AC_SUBST(SECP_LIBS)
 AC_SUBST(SECP_TEST_LIBS)
 AC_SUBST(SECP_TEST_INCLUDES)
-AC_SUBST(SECP_CFLAGS)
 AM_CONDITIONAL([ENABLE_COVERAGE], [test x"$enable_coverage" = x"yes"])
-AM_CONDITIONAL([USE_TESTS], [test x"$enable_tests" != x"no"])
-AM_CONDITIONAL([USE_EXHAUSTIVE_TESTS], [test x"$enable_exhaustive_tests" != x"no"])
-AM_CONDITIONAL([USE_EXAMPLES], [test x"$enable_examples" != x"no"])
-AM_CONDITIONAL([USE_BENCHMARK], [test x"$enable_benchmark" = x"yes"])
+AM_CONDITIONAL([USE_TESTS], [test x"$use_tests" != x"no"])
+AM_CONDITIONAL([USE_EXHAUSTIVE_TESTS], [test x"$use_exhaustive_tests" != x"no"])
+AM_CONDITIONAL([USE_BENCHMARK], [test x"$use_benchmark" = x"yes"])
+AM_CONDITIONAL([USE_ECMULT_STATIC_PRECOMPUTATION], [test x"$set_precomp" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_ECDH], [test x"$enable_module_ecdh" = x"yes"])
+AM_CONDITIONAL([ENABLE_MODULE_SCHNORRSIG], [test x"$enable_module_schnorrsig" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_MUSIG], [test x"$enable_module_musig" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_RECOVERY], [test x"$enable_module_recovery" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_GENERATOR], [test x"$enable_module_generator" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_RANGEPROOF], [test x"$enable_module_rangeproof" = x"yes"])
 AM_CONDITIONAL([ENABLE_MODULE_WHITELIST], [test x"$enable_module_whitelist" = x"yes"])
-AM_CONDITIONAL([ENABLE_MODULE_EXTRAKEYS], [test x"$enable_module_extrakeys" = x"yes"])
-AM_CONDITIONAL([ENABLE_MODULE_SCHNORRSIG], [test x"$enable_module_schnorrsig" = x"yes"])
-AM_CONDITIONAL([ENABLE_MODULE_ECDSA_S2C], [test x"$enable_module_ecdsa_s2c" = x"yes"])
-AM_CONDITIONAL([ENABLE_MODULE_ECDSA_ADAPTOR], [test x"$enable_module_ecdsa_adaptor" = x"yes"])
-AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$enable_external_asm" = x"yes"])
+AM_CONDITIONAL([USE_JNI], [test x"$use_jni" = x"yes"])
+AM_CONDITIONAL([USE_EXTERNAL_ASM], [test x"$use_external_asm" = x"yes"])
 AM_CONDITIONAL([USE_ASM_ARM], [test x"$set_asm" = x"arm"])
 AM_CONDITIONAL([ENABLE_MODULE_SURJECTIONPROOF], [test x"$enable_module_surjectionproof" = x"yes"])
-AM_CONDITIONAL([USE_REDUCED_SURJECTION_PROOF_SIZE], [test x"$use_reduced_surjection_proof_size" = x"yes"])
-AM_CONDITIONAL([BUILD_WINDOWS], [test "$build_windows" = "yes"])
-AC_SUBST(LIB_VERSION_CURRENT, _LIB_VERSION_CURRENT)
-AC_SUBST(LIB_VERSION_REVISION, _LIB_VERSION_REVISION)
-AC_SUBST(LIB_VERSION_AGE, _LIB_VERSION_AGE)
+
+dnl make sure nothing new is exported so that we don't break the cache
+PKGCONFIG_PATH_TEMP="$PKG_CONFIG_PATH"
+unset PKG_CONFIG_PATH
+PKG_CONFIG_PATH="$PKGCONFIG_PATH_TEMP"
 
 AC_OUTPUT
 
 echo
 echo "Build Options:"
-echo "  with external callbacks = $enable_external_default_callbacks"
-echo "  with benchmarks         = $enable_benchmark"
-echo "  with tests              = $enable_tests"
+echo "  with endomorphism       = $use_endomorphism"
+echo "  with ecmult precomp     = $set_precomp"
+echo "  with external callbacks = $use_external_default_callbacks"
+echo "  with jni                = $use_jni"
+echo "  with benchmarks         = $use_benchmark"
 echo "  with coverage           = $enable_coverage"
-echo "  with examples           = $enable_examples"
 echo "  module ecdh             = $enable_module_ecdh"
 echo "  module recovery         = $enable_module_recovery"
-echo "  module extrakeys        = $enable_module_extrakeys"
-echo "  module schnorrsig       = $enable_module_schnorrsig"
-echo "  module generator        = $enable_module_generator"
-echo "  module rangeproof       = $enable_module_rangeproof"
-echo "  module surjectionproof  = $enable_module_surjectionproof"
-echo "  module whitelist        = $enable_module_whitelist"
-echo "  module musig            = $enable_module_musig"
-echo "  module ecdsa-s2c        = $enable_module_ecdsa_s2c"
-echo "  module ecdsa-adaptor    = $enable_module_ecdsa_adaptor"
 echo
 echo "  asm                     = $set_asm"
+echo "  bignum                  = $set_bignum"
+echo "  field                   = $set_field"
+echo "  scalar                  = $set_scalar"
 echo "  ecmult window size      = $set_ecmult_window"
-echo "  ecmult gen prec. bits   = $set_ecmult_gen_precision"
-# Hide test-only options unless they're used.
-if test x"$set_widemul" != xauto; then
-echo "  wide multiplication     = $set_widemul"
-fi
 echo
-echo "  valgrind                = $enable_valgrind"
 echo "  CC                      = $CC"
-echo "  CPPFLAGS                = $CPPFLAGS"
-echo "  SECP_CFLAGS             = $SECP_CFLAGS"
 echo "  CFLAGS                  = $CFLAGS"
+echo "  CPPFLAGS                = $CPPFLAGS"
 echo "  LDFLAGS                 = $LDFLAGS"
+echo

contrib/lax_der_parsing.c

@@ -1,10 +1,11 @@
-/***********************************************************************
- * Copyright (c) 2015 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2015 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #include <string.h>
+#include <secp256k1.h>
 
 #include "lax_der_parsing.h"
 
@@ -111,6 +112,7 @@ int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_
         return 0;
     }
     spos = pos;
+    pos += slen;
 
     /* Ignore leading zeroes in R */
     while (rlen > 0 && input[rpos] == 0) {
@@ -120,7 +122,7 @@ int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_
     /* Copy R value */
     if (rlen > 32) {
         overflow = 1;
-    } else if (rlen) {
+    } else {
         memcpy(tmpsig + 32 - rlen, input + rpos, rlen);
     }
 
@@ -132,7 +134,7 @@ int ecdsa_signature_parse_der_lax(const secp256k1_context* ctx, secp256k1_ecdsa_
     /* Copy S value */
     if (slen > 32) {
         overflow = 1;
-    } else if (slen) {
+    } else {
         memcpy(tmpsig + 64 - slen, input + spos, slen);
     }
 

contrib/lax_der_parsing.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2015 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2015 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 /****
  * Please do not link this file directly. It is not part of the libsecp256k1
@@ -51,13 +51,7 @@
 #ifndef SECP256K1_CONTRIB_LAX_DER_PARSING_H
 #define SECP256K1_CONTRIB_LAX_DER_PARSING_H
 
-/* #include secp256k1.h only when it hasn't been included yet.
-   This enables this file to be #included directly in other project
-   files (such as tests.c) without the need to set an explicit -I flag,
-   which would be necessary to locate secp256k1.h. */
-#ifndef SECP256K1_H
 #include <secp256k1.h>
-#endif
 
 #ifdef __cplusplus
 extern "C" {

contrib/lax_der_privatekey_parsing.c

@@ -1,10 +1,11 @@
-/***********************************************************************
- * Copyright (c) 2014, 2015 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014, 2015 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #include <string.h>
+#include <secp256k1.h>
 
 #include "lax_der_privatekey_parsing.h"
 
@@ -44,7 +45,7 @@ int ec_privkey_import_der(const secp256k1_context* ctx, unsigned char *out32, co
     if (end < privkey+2 || privkey[0] != 0x04 || privkey[1] > 0x20 || end < privkey+2+privkey[1]) {
         return 0;
     }
-    if (privkey[1]) memcpy(out32 + 32 - privkey[1], privkey + 2, privkey[1]);
+    memcpy(out32 + 32 - privkey[1], privkey + 2, privkey[1]);
     if (!secp256k1_ec_seckey_verify(ctx, out32)) {
         memset(out32, 0, 32);
         return 0;

contrib/lax_der_privatekey_parsing.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2014, 2015 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014, 2015 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 /****
  * Please do not link this file directly. It is not part of the libsecp256k1
@@ -28,13 +28,7 @@
 #ifndef SECP256K1_CONTRIB_BER_PRIVATEKEY_H
 #define SECP256K1_CONTRIB_BER_PRIVATEKEY_H
 
-/* #include secp256k1.h only when it hasn't been included yet.
-   This enables this file to be #included directly in other project
-   files (such as tests.c) without the need to set an explicit -I flag,
-   which would be necessary to locate secp256k1.h. */
-#ifndef SECP256K1_H
 #include <secp256k1.h>
-#endif
 
 #ifdef __cplusplus
 extern "C" {

contrib/sync-upstream.sh

@@ -1,124 +0,0 @@
-#!/usr/bin/env bash
-
-set -eou pipefail
-
-help() {
-    echo "$0 range [end]"
-    echo "    merges every merge commit present in upstream and missing locally."
-    echo "    If the optional [end] commit is provided, only merges up to [end]."
-    echo
-    echo "$0 select <commit> ... <commit>"
-    echo "    merges every selected merge commit"
-    echo
-    echo "This tool creates a branch and a script that can be executed to create the"
-    echo "PR automatically. The script requires the github-cli tool (aka gh)."
-    echo ""
-    echo "Tip: \`git log --oneline upstream/master --merges\` shows merge commits."
-    exit 1
-}
-
-if [ "$#" -lt 1 ]; then
-    help
-fi
-
-REMOTE=upstream
-REMOTE_BRANCH="$REMOTE/master"
-# Makes sure you have a remote "upstream" that is up-to-date
-setup() {
-    ret=0
-    git fetch "$REMOTE" &> /dev/null || ret="$?"
-    if [ ${ret} == 0 ]; then
-        return
-    fi
-    echo "Adding remote \"$REMOTE\" with URL git@github.com:bitcoin-core/secp256k1.git. Continue with y"
-    read -r yn
-    case $yn in
-        [Yy]* ) ;;
-        * ) exit 1;;
-    esac
-    git remote add "$REMOTE" git@github.com:bitcoin-core/secp256k1.git &> /dev/null
-    git fetch "$REMOTE" &> /dev/null
-}
-
-range() {
-    RANGESTART_COMMIT=$(git merge-base "$REMOTE_BRANCH" master)
-    RANGEEND_COMMIT=$(git rev-parse "$REMOTE_BRANCH")
-    if [ "$#" = 1 ]; then
-        RANGEEND_COMMIT=$1
-    fi
-
-    COMMITS=$(git --no-pager log --oneline --merges "$RANGESTART_COMMIT".."$RANGEEND_COMMIT")
-    COMMITS=$(echo "$COMMITS" | tac | awk '{ print $1 }' ORS=' ')
-    echo "Merging $COMMITS. Continue with y"
-    read -r yn
-    case $yn in
-        [Yy]* ) ;;
-        * ) exit 1;;
-    esac
-}
-
-case $1 in
-    range)
-        shift
-        setup
-        range "$@"
-        REPRODUCE_COMMAND="$0 range $RANGEEND_COMMIT"
-        ;;
-    select)
-        shift
-        setup
-        COMMITS=$*
-        REPRODUCE_COMMAND="$0 $@"
-        ;;
-    help)
-        help
-        ;;
-    *)
-        help
-esac
-
-TITLE="Upstream PRs"
-BODY=""
-for COMMIT in $COMMITS
-do
-    PRNUM=$(git log -1 "$COMMIT" --pretty=format:%s | sed s/'Merge \(bitcoin-core\/secp256k1\)\?#\([0-9]*\).*'/'\2'/)
-    TITLE="$TITLE $PRNUM,"
-    BODY=$(printf "%s\n%s" "$BODY" "$(git log -1 "$COMMIT" --pretty=format:%s | sed s/'Merge \(bitcoin-core\/secp256k1\)\?#\([0-9]*\)'/'[bitcoin-core\/secp256k1#\2]'/)")
-done
-# Remove trailing ","
-TITLE=${TITLE%?}
-
-BODY=$(printf "%s\n\n%s" "$BODY" "This PR can be recreated  with \`$REPRODUCE_COMMAND\`.")
-
-echo "-----------------------------------"
-echo "$TITLE"
-echo "-----------------------------------"
-echo "$BODY"
-echo "-----------------------------------"
-# Create branch from PR commit and create PR
-git checkout master
-git pull
-git checkout -b temp-merge-"$PRNUM"
-
-# Escape single quote
-# ' -> '\''
-quote() {
-    local quoted=${1//\'/\'\\\'\'}
-    printf "%s" "$quoted"
-}
-TITLE=$(quote "$TITLE")
-BODY=$(quote "$BODY")
-
-BASEDIR=$(dirname "$0")
-FNAME="$BASEDIR/gh-pr-create.sh"
-cat <<EOT > "$FNAME"
-#!/bin/sh
-gh pr create -t '$TITLE' -b '$BODY' --web
-# Remove temporary branch
-git checkout master
-git branch -D temp-merge-"$PRNUM"
-EOT
-chmod +x "$FNAME"
-echo Run "$FNAME" after solving the merge conflicts
-
-git merge --no-edit -m "Merge commits '$COMMITS' into temp-merge-$PRNUM" $COMMITS

doc/CHANGELOG.md

@@ -1,12 +0,0 @@
-# Changelog
-
-This file is currently only a template for future use.
-
-Each change falls into one of the following categories: Added, Changed, Deprecated, Removed, Fixed or Security.
-
-## [Unreleased]
-
-## [MAJOR.MINOR.PATCH] - YYYY-MM-DD
-
-### Added/Changed/Deprecated/Removed/Fixed/Security
-- [Title with link to Pull Request](https://link-to-pr)

doc/musig-spec.mediawiki

@@ -1 +0,0 @@
-This document was moved to [https://github.com/jonasnick/bips/blob/musig2/bip-musig2.mediawiki https://github.com/jonasnick/bips/blob/musig2/bip-musig2.mediawiki].

doc/release-process.md

@@ -1,14 +0,0 @@
-# Release Process
-
-1. Open PR to master that
-   1. adds release notes to `doc/CHANGELOG.md` and
-   2. if this is **not** a patch release, updates `_PKG_VERSION_{MAJOR,MINOR}` and `_LIB_VERSIONS_*` in `configure.ac`
-2. After the PR is merged,
-   * if this is **not** a patch release, create a release branch with name `MAJOR.MINOR`.
-     Make sure that the branch contains the right commits.
-     Create commit on the release branch that sets `_PKG_VERSION_IS_RELEASE` in `configure.ac` to `true`.
-   * if this **is** a patch release, open a pull request with the bugfixes to the `MAJOR.MINOR` branch.
-     Also include the release note commit bump `_PKG_VERSION_BUILD` and `_LIB_VERSIONS_*` in `configure.ac`.
-4. Tag the commit with `git tag -s vMAJOR.MINOR.PATCH`.
-5. Push branch and tag with `git push origin --tags`.
-6. Create a new GitHub release with a link to the corresponding entry in `doc/CHANGELOG.md`.

doc/safegcd_implementation.md

@@ -1,771 +0,0 @@
-# The safegcd implementation in libsecp256k1 explained
-
-This document explains the modular inverse implementation in the `src/modinv*.h` files. It is based
-on the paper
-["Fast constant-time gcd computation and modular inversion"](https://gcd.cr.yp.to/papers.html#safegcd)
-by Daniel J. Bernstein and Bo-Yin Yang. The references below are for the Date: 2019.04.13 version.
-
-The actual implementation is in C of course, but for demonstration purposes Python3 is used here.
-Most implementation aspects and optimizations are explained, except those that depend on the specific
-number representation used in the C code.
-
-## 1. Computing the Greatest Common Divisor (GCD) using divsteps
-
-The algorithm from the paper (section 11), at a very high level, is this:
-
-```python
-def gcd(f, g):
-    """Compute the GCD of an odd integer f and another integer g."""
-    assert f & 1  # require f to be odd
-    delta = 1     # additional state variable
-    while g != 0:
-        assert f & 1  # f will be odd in every iteration
-        if delta > 0 and g & 1:
-            delta, f, g = 1 - delta, g, (g - f) // 2
-        elif g & 1:
-            delta, f, g = 1 + delta, f, (g + f) // 2
-        else:
-            delta, f, g = 1 + delta, f, (g    ) // 2
-    return abs(f)
-```
-
-It computes the greatest common divisor of an odd integer *f* and any integer *g*. Its inner loop
-keeps rewriting the variables *f* and *g* alongside a state variable *δ* that starts at *1*, until
-*g=0* is reached. At that point, *|f|* gives the GCD. Each of the transitions in the loop is called a
-"division step" (referred to as divstep in what follows).
-
-For example, *gcd(21, 14)* would be computed as:
-- Start with *δ=1 f=21 g=14*
-- Take the third branch: *δ=2 f=21 g=7*
-- Take the first branch: *δ=-1 f=7 g=-7*
-- Take the second branch: *δ=0 f=7 g=0*
-- The answer *|f| = 7*.
-
-Why it works:
-- Divsteps can be decomposed into two steps (see paragraph 8.2 in the paper):
-  - (a) If *g* is odd, replace *(f,g)* with *(g,g-f)* or (f,g+f), resulting in an even *g*.
-  - (b) Replace *(f,g)* with *(f,g/2)* (where *g* is guaranteed to be even).
-- Neither of those two operations change the GCD:
-  - For (a), assume *gcd(f,g)=c*, then it must be the case that *f=a c* and *g=b c* for some integers *a*
-    and *b*. As *(g,g-f)=(b c,(b-a)c)* and *(f,f+g)=(a c,(a+b)c)*, the result clearly still has
-    common factor *c*. Reasoning in the other direction shows that no common factor can be added by
-    doing so either.
-  - For (b), we know that *f* is odd, so *gcd(f,g)* clearly has no factor *2*, and we can remove
-    it from *g*.
-- The algorithm will eventually converge to *g=0*. This is proven in the paper (see theorem G.3).
-- It follows that eventually we find a final value *f'* for which *gcd(f,g) = gcd(f',0)*. As the
-  gcd of *f'* and *0* is *|f'|* by definition, that is our answer.
-
-Compared to more [traditional GCD algorithms](https://en.wikipedia.org/wiki/Euclidean_algorithm), this one has the property of only ever looking at
-the low-order bits of the variables to decide the next steps, and being easy to make
-constant-time (in more low-level languages than Python). The *δ* parameter is necessary to
-guide the algorithm towards shrinking the numbers' magnitudes without explicitly needing to look
-at high order bits.
-
-Properties that will become important later:
-- Performing more divsteps than needed is not a problem, as *f* does not change anymore after *g=0*.
-- Only even numbers are divided by *2*. This means that when reasoning about it algebraically we
-  do not need to worry about rounding.
-- At every point during the algorithm's execution the next *N* steps only depend on the bottom *N*
-  bits of *f* and *g*, and on *δ*.
-
-
-## 2. From GCDs to modular inverses
-
-We want an algorithm to compute the inverse *a* of *x* modulo *M*, i.e. the number a such that *a x=1
-mod M*. This inverse only exists if the GCD of *x* and *M* is *1*, but that is always the case if *M* is
-prime and *0 < x < M*. In what follows, assume that the modular inverse exists.
-It turns out this inverse can be computed as a side effect of computing the GCD by keeping track
-of how the internal variables can be written as linear combinations of the inputs at every step
-(see the [extended Euclidean algorithm](https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm)).
-Since the GCD is *1*, such an algorithm will compute numbers *a* and *b* such that a&thinsp;x + b&thinsp;M = 1*.
-Taking that expression *mod M* gives *a&thinsp;x mod M = 1*, and we see that *a* is the modular inverse of *x
-mod M*.
-
-A similar approach can be used to calculate modular inverses using the divsteps-based GCD
-algorithm shown above, if the modulus *M* is odd. To do so, compute *gcd(f=M,g=x)*, while keeping
-track of extra variables *d* and *e*, for which at every step *d = f/x (mod M)* and *e = g/x (mod M)*.
-*f/x* here means the number which multiplied with *x* gives *f mod M*. As *f* and *g* are initialized to *M*
-and *x* respectively, *d* and *e* just start off being *0* (*M/x mod M = 0/x mod M = 0*) and *1* (*x/x mod M
-= 1*).
-
-```python
-def div2(M, x):
-    """Helper routine to compute x/2 mod M (where M is odd)."""
-    assert M & 1
-    if x & 1: # If x is odd, make it even by adding M.
-        x += M
-    # x must be even now, so a clean division by 2 is possible.
-    return x // 2
-
-def modinv(M, x):
-    """Compute the inverse of x mod M (given that it exists, and M is odd)."""
-    assert M & 1
-    delta, f, g, d, e = 1, M, x, 0, 1
-    while g != 0:
-        # Note that while division by two for f and g is only ever done on even inputs, this is
-        # not true for d and e, so we need the div2 helper function.
-        if delta > 0 and g & 1:
-            delta, f, g, d, e = 1 - delta, g, (g - f) // 2, e, div2(M, e - d)
-        elif g & 1:
-            delta, f, g, d, e = 1 + delta, f, (g + f) // 2, d, div2(M, e + d)
-        else:
-            delta, f, g, d, e = 1 + delta, f, (g    ) // 2, d, div2(M, e    )
-        # Verify that the invariants d=f/x mod M, e=g/x mod M are maintained.
-        assert f % M == (d * x) % M
-        assert g % M == (e * x) % M
-    assert f == 1 or f == -1  # |f| is the GCD, it must be 1
-    # Because of invariant d = f/x (mod M), 1/x = d/f (mod M). As |f|=1, d/f = d*f.
-    return (d * f) % M
-```
-
-Also note that this approach to track *d* and *e* throughout the computation to determine the inverse
-is different from the paper. There (see paragraph 12.1 in the paper) a transition matrix for the
-entire computation is determined (see section 3 below) and the inverse is computed from that.
-The approach here avoids the need for 2x2 matrix multiplications of various sizes, and appears to
-be faster at the level of optimization we're able to do in C.
-
-
-## 3. Batching multiple divsteps
-
-Every divstep can be expressed as a matrix multiplication, applying a transition matrix *(1/2 t)*
-to both vectors *[f, g]* and *[d, e]* (see paragraph 8.1 in the paper):
-
-```
-  t = [ u,  v ]
-      [ q,  r ]
-
-  [ out_f ] = (1/2 * t) * [ in_f ]
-  [ out_g ] =             [ in_g ]
-
-  [ out_d ] = (1/2 * t) * [ in_d ]  (mod M)
-  [ out_e ]               [ in_e ]
-```
-
-where *(u, v, q, r)* is *(0, 2, -1, 1)*, *(2, 0, 1, 1)*, or *(2, 0, 0, 1)*, depending on which branch is
-taken. As above, the resulting *f* and *g* are always integers.
-
-Performing multiple divsteps corresponds to a multiplication with the product of all the
-individual divsteps' transition matrices. As each transition matrix consists of integers
-divided by *2*, the product of these matrices will consist of integers divided by *2<sup>N</sup>* (see also
-theorem 9.2 in the paper). These divisions are expensive when updating *d* and *e*, so we delay
-them: we compute the integer coefficients of the combined transition matrix scaled by *2<sup>N</sup>*, and
-do one division by *2<sup>N</sup>* as a final step:
-
-```python
-def divsteps_n_matrix(delta, f, g):
-    """Compute delta and transition matrix t after N divsteps (multiplied by 2^N)."""
-    u, v, q, r = 1, 0, 0, 1 # start with identity matrix
-    for _ in range(N):
-        if delta > 0 and g & 1:
-            delta, f, g, u, v, q, r = 1 - delta, g, (g - f) // 2, 2*q, 2*r, q-u, r-v
-        elif g & 1:
-            delta, f, g, u, v, q, r = 1 + delta, f, (g + f) // 2, 2*u, 2*v, q+u, r+v
-        else:
-            delta, f, g, u, v, q, r = 1 + delta, f, (g    ) // 2, 2*u, 2*v, q  , r
-    return delta, (u, v, q, r)
-```
-
-As the branches in the divsteps are completely determined by the bottom *N* bits of *f* and *g*, this
-function to compute the transition matrix only needs to see those bottom bits. Furthermore all
-intermediate results and outputs fit in *(N+1)*-bit numbers (unsigned for *f* and *g*; signed for *u*, *v*,
-*q*, and *r*) (see also paragraph 8.3 in the paper). This means that an implementation using 64-bit
-integers could set *N=62* and compute the full transition matrix for 62 steps at once without any
-big integer arithmetic at all. This is the reason why this algorithm is efficient: it only needs
-to update the full-size *f*, *g*, *d*, and *e* numbers once every *N* steps.
-
-We still need functions to compute:
-
-```
-  [ out_f ] = (1/2^N * [ u,  v ]) * [ in_f ]
-  [ out_g ]   (        [ q,  r ])   [ in_g ]
-
-  [ out_d ] = (1/2^N * [ u,  v ]) * [ in_d ]  (mod M)
-  [ out_e ]   (        [ q,  r ])   [ in_e ]
-```
-
-Because the divsteps transformation only ever divides even numbers by two, the result of *t&thinsp;[f,g]* is always even. When *t* is a composition of *N* divsteps, it follows that the resulting *f*
-and *g* will be multiple of *2<sup>N</sup>*, and division by *2<sup>N</sup>* is simply shifting them down:
-
-```python
-def update_fg(f, g, t):
-    """Multiply matrix t/2^N with [f, g]."""
-    u, v, q, r = t
-    cf, cg = u*f + v*g, q*f + r*g
-    # (t / 2^N) should cleanly apply to [f,g] so the result of t*[f,g] should have N zero
-    # bottom bits.
-    assert cf % 2**N == 0
-    assert cg % 2**N == 0
-    return cf >> N, cg >> N
-```
-
-The same is not true for *d* and *e*, and we need an equivalent of the `div2` function for division by *2<sup>N</sup> mod M*.
-This is easy if we have precomputed *1/M mod 2<sup>N</sup>* (which always exists for odd *M*):
-
-```python
-def div2n(M, Mi, x):
-    """Compute x/2^N mod M, given Mi = 1/M mod 2^N."""
-    assert (M * Mi) % 2**N == 1
-    # Find a factor m such that m*M has the same bottom N bits as x. We want:
-    #     (m * M) mod 2^N = x mod 2^N
-    # <=> m mod 2^N = (x / M) mod 2^N
-    # <=> m mod 2^N = (x * Mi) mod 2^N
-    m = (Mi * x) % 2**N
-    # Subtract that multiple from x, cancelling its bottom N bits.
-    x -= m * M
-    # Now a clean division by 2^N is possible.
-    assert x % 2**N == 0
-    return (x >> N) % M
-
-def update_de(d, e, t, M, Mi):
-    """Multiply matrix t/2^N with [d, e], modulo M."""
-    u, v, q, r = t
-    cd, ce = u*d + v*e, q*d + r*e
-    return div2n(M, Mi, cd), div2n(M, Mi, ce)
-```
-
-With all of those, we can write a version of `modinv` that performs *N* divsteps at once:
-
-```python3
-def modinv(M, Mi, x):
-    """Compute the modular inverse of x mod M, given Mi=1/M mod 2^N."""
-    assert M & 1
-    delta, f, g, d, e = 1, M, x, 0, 1
-    while g != 0:
-        # Compute the delta and transition matrix t for the next N divsteps (this only needs
-        # (N+1)-bit signed integer arithmetic).
-        delta, t = divsteps_n_matrix(delta, f % 2**N, g % 2**N)
-        # Apply the transition matrix t to [f, g]:
-        f, g = update_fg(f, g, t)
-        # Apply the transition matrix t to [d, e]:
-        d, e = update_de(d, e, t, M, Mi)
-    return (d * f) % M
-```
-
-This means that in practice we'll always perform a multiple of *N* divsteps. This is not a problem
-because once *g=0*, further divsteps do not affect *f*, *g*, *d*, or *e* anymore (only *&delta;* keeps
-increasing). For variable time code such excess iterations will be mostly optimized away in later
-sections.
-
-
-## 4. Avoiding modulus operations
-
-So far, there are two places where we compute a remainder of big numbers modulo *M*: at the end of
-`div2n` in every `update_de`, and at the very end of `modinv` after potentially negating *d* due to the
-sign of *f*. These are relatively expensive operations when done generically.
-
-To deal with the modulus operation in `div2n`, we simply stop requiring *d* and *e* to be in range
-*[0,M)* all the time. Let's start by inlining `div2n` into `update_de`, and dropping the modulus
-operation at the end:
-
-```python
-def update_de(d, e, t, M, Mi):
-    """Multiply matrix t/2^N with [d, e] mod M, given Mi=1/M mod 2^N."""
-    u, v, q, r = t
-    cd, ce = u*d + v*e, q*d + r*e
-    # Cancel out bottom N bits of cd and ce.
-    md = -((Mi * cd) % 2**N)
-    me = -((Mi * ce) % 2**N)
-    cd += md * M
-    ce += me * M
-    # And cleanly divide by 2**N.
-    return cd >> N, ce >> N
-```
-
-Let's look at bounds on the ranges of these numbers. It can be shown that *|u|+|v|* and *|q|+|r|*
-never exceed *2<sup>N</sup>* (see paragraph 8.3 in the paper), and thus a multiplication with *t* will have
-outputs whose absolute values are at most *2<sup>N</sup>* times the maximum absolute input value. In case the
-inputs *d* and *e* are in *(-M,M)*, which is certainly true for the initial values *d=0* and *e=1* assuming
-*M > 1*, the multiplication results in numbers in range *(-2<sup>N</sup>M,2<sup>N</sup>M)*. Subtracting less than *2<sup>N</sup>*
-times *M* to cancel out *N* bits brings that up to *(-2<sup>N+1</sup>M,2<sup>N</sup>M)*, and
-dividing by *2<sup>N</sup>* at the end takes it to *(-2M,M)*. Another application of `update_de` would take that
-to *(-3M,2M)*, and so forth. This progressive expansion of the variables' ranges can be
-counteracted by incrementing *d* and *e* by *M* whenever they're negative:
-
-```python
-    ...
-    if d < 0:
-        d += M
-    if e < 0:
-        e += M
-    cd, ce = u*d + v*e, q*d + r*e
-    # Cancel out bottom N bits of cd and ce.
-    ...
-```
-
-With inputs in *(-2M,M)*, they will first be shifted into range *(-M,M)*, which means that the
-output will again be in *(-2M,M)*, and this remains the case regardless of how many `update_de`
-invocations there are. In what follows, we will try to make this more efficient.
-
-Note that increasing *d* by *M* is equal to incrementing *cd* by *u&thinsp;M* and *ce* by *q&thinsp;M*. Similarly,
-increasing *e* by *M* is equal to incrementing *cd* by *v&thinsp;M* and *ce* by *r&thinsp;M*. So we could instead write:
-
-```python
-    ...
-    cd, ce = u*d + v*e, q*d + r*e
-    # Perform the equivalent of incrementing d, e by M when they're negative.
-    if d < 0:
-        cd += u*M
-        ce += q*M
-    if e < 0:
-        cd += v*M
-        ce += r*M
-    # Cancel out bottom N bits of cd and ce.
-    md = -((Mi * cd) % 2**N)
-    me = -((Mi * ce) % 2**N)
-    cd += md * M
-    ce += me * M
-    ...
-```
-
-Now note that we have two steps of corrections to *cd* and *ce* that add multiples of *M*: this
-increment, and the decrement that cancels out bottom bits. The second one depends on the first
-one, but they can still be efficiently combined by only computing the bottom bits of *cd* and *ce*
-at first, and using that to compute the final *md*, *me* values:
-
-```python
-def update_de(d, e, t, M, Mi):
-    """Multiply matrix t/2^N with [d, e], modulo M."""
-    u, v, q, r = t
-    md, me = 0, 0
-    # Compute what multiples of M to add to cd and ce.
-    if d < 0:
-        md += u
-        me += q
-    if e < 0:
-        md += v
-        me += r
-    # Compute bottom N bits of t*[d,e] + M*[md,me].
-    cd, ce = (u*d + v*e + md*M) % 2**N, (q*d + r*e + me*M) % 2**N
-    # Correct md and me such that the bottom N bits of t*[d,e] + M*[md,me] are zero.
-    md -= (Mi * cd) % 2**N
-    me -= (Mi * ce) % 2**N
-    # Do the full computation.
-    cd, ce = u*d + v*e + md*M, q*d + r*e + me*M
-    # And cleanly divide by 2**N.
-    return cd >> N, ce >> N
-```
-
-One last optimization: we can avoid the *md&thinsp;M* and *me&thinsp;M* multiplications in the bottom bits of *cd*
-and *ce* by moving them to the *md* and *me* correction:
-
-```python
-    ...
-    # Compute bottom N bits of t*[d,e].
-    cd, ce = (u*d + v*e) % 2**N, (q*d + r*e) % 2**N
-    # Correct md and me such that the bottom N bits of t*[d,e]+M*[md,me] are zero.
-    # Note that this is not the same as {md = (-Mi * cd) % 2**N} etc. That would also result in N
-    # zero bottom bits, but isn't guaranteed to be a reduction of [0,2^N) compared to the
-    # previous md and me values, and thus would violate our bounds analysis.
-    md -= (Mi*cd + md) % 2**N
-    me -= (Mi*ce + me) % 2**N
-    ...
-```
-
-The resulting function takes *d* and *e* in range *(-2M,M)* as inputs, and outputs values in the same
-range. That also means that the *d* value at the end of `modinv` will be in that range, while we want
-a result in *[0,M)*. To do that, we need a normalization function. It's easy to integrate the
-conditional negation of *d* (based on the sign of *f*) into it as well:
-
-```python
-def normalize(sign, v, M):
-    """Compute sign*v mod M, where v is in range (-2*M,M); output in [0,M)."""
-    assert sign == 1 or sign == -1
-    # v in (-2*M,M)
-    if v < 0:
-        v += M
-    # v in (-M,M). Now multiply v with sign (which can only be 1 or -1).
-    if sign == -1:
-        v = -v
-    # v in (-M,M)
-    if v < 0:
-        v += M
-    # v in [0,M)
-    return v
-```
-
-And calling it in `modinv` is simply:
-
-```python
-   ...
-   return normalize(f, d, M)
-```
-
-
-## 5. Constant-time operation
-
-The primary selling point of the algorithm is fast constant-time operation. What code flow still
-depends on the input data so far?
-
-- the number of iterations of the while *g &ne; 0* loop in `modinv`
-- the branches inside `divsteps_n_matrix`
-- the sign checks in `update_de`
-- the sign checks in `normalize`
-
-To make the while loop in `modinv` constant time it can be replaced with a constant number of
-iterations. The paper proves (Theorem 11.2) that *741* divsteps are sufficient for any *256*-bit
-inputs, and [safegcd-bounds](https://github.com/sipa/safegcd-bounds) shows that the slightly better bound *724* is
-sufficient even. Given that every loop iteration performs *N* divsteps, it will run a total of
-*&lceil;724/N&rceil;* times.
-
-To deal with the branches in `divsteps_n_matrix` we will replace them with constant-time bitwise
-operations (and hope the C compiler isn't smart enough to turn them back into branches; see
-`valgrind_ctime_test.c` for automated tests that this isn't the case). To do so, observe that a
-divstep can be written instead as (compare to the inner loop of `gcd` in section 1).
-
-```python
-    x = -f if delta > 0 else f         # set x equal to (input) -f or f
-    if g & 1:
-        g += x                         # set g to (input) g-f or g+f
-        if delta > 0:
-            delta = -delta
-            f += g                     # set f to (input) g (note that g was set to g-f before)
-    delta += 1
-    g >>= 1
-```
-
-To convert the above to bitwise operations, we rely on a trick to negate conditionally: per the
-definition of negative numbers in two's complement, (*-v == ~v + 1*) holds for every number *v*. As
-*-1* in two's complement is all *1* bits, bitflipping can be expressed as xor with *-1*. It follows
-that *-v == (v ^ -1) - (-1)*. Thus, if we have a variable *c* that takes on values *0* or *-1*, then
-*(v ^ c) - c* is *v* if *c=0* and *-v* if *c=-1*.
-
-Using this we can write:
-
-```python
-    x = -f if delta > 0 else f
-```
-
-in constant-time form as:
-
-```python
-    c1 = (-delta) >> 63
-    # Conditionally negate f based on c1:
-    x = (f ^ c1) - c1
-```
-
-To use that trick, we need a helper mask variable *c1* that resolves the condition *&delta;>0* to *-1*
-(if true) or *0* (if false). We compute *c1* using right shifting, which is equivalent to dividing by
-the specified power of *2* and rounding down (in Python, and also in C under the assumption of a typical two's complement system; see
-`assumptions.h` for tests that this is the case). Right shifting by *63* thus maps all
-numbers in range *[-2<sup>63</sup>,0)* to *-1*, and numbers in range *[0,2<sup>63</sup>)* to *0*.
-
-Using the facts that *x&0=0* and *x&(-1)=x* (on two's complement systems again), we can write:
-
-```python
-    if g & 1:
-        g += x
-```
-
-as:
-
-```python
-    # Compute c2=0 if g is even and c2=-1 if g is odd.
-    c2 = -(g & 1)
-    # This masks out x if g is even, and leaves x be if g is odd.
-    g += x & c2
-```
-
-Using the conditional negation trick again we can write:
-
-```python
-    if g & 1:
-        if delta > 0:
-            delta = -delta
-```
-
-as:
-
-```python
-    # Compute c3=-1 if g is odd and delta>0, and 0 otherwise.
-    c3 = c1 & c2
-    # Conditionally negate delta based on c3:
-    delta = (delta ^ c3) - c3
-```
-
-Finally:
-
-```python
-    if g & 1:
-        if delta > 0:
-            f += g
-```
-
-becomes:
-
-```python
-    f += g & c3
-```
-
-It turns out that this can be implemented more efficiently by applying the substitution
-*&eta;=-&delta;*. In this representation, negating *&delta;* corresponds to negating *&eta;*, and incrementing
-*&delta;* corresponds to decrementing *&eta;*. This allows us to remove the negation in the *c1*
-computation:
-
-```python
-    # Compute a mask c1 for eta < 0, and compute the conditional negation x of f:
-    c1 = eta >> 63
-    x = (f ^ c1) - c1
-    # Compute a mask c2 for odd g, and conditionally add x to g:
-    c2 = -(g & 1)
-    g += x & c2
-    # Compute a mask c for (eta < 0) and odd (input) g, and use it to conditionally negate eta,
-    # and add g to f:
-    c3 = c1 & c2
-    eta = (eta ^ c3) - c3
-    f += g & c3
-    # Incrementing delta corresponds to decrementing eta.
-    eta -= 1
-    g >>= 1
-```
-
-A variant of divsteps with better worst-case performance can be used instead: starting *&delta;* at
-*1/2* instead of *1*. This reduces the worst case number of iterations to *590* for *256*-bit inputs
-(which can be shown using convex hull analysis). In this case, the substitution *&zeta;=-(&delta;+1/2)*
-is used instead to keep the variable integral. Incrementing *&delta;* by *1* still translates to
-decrementing *&zeta;* by *1*, but negating *&delta;* now corresponds to going from *&zeta;* to *-(&zeta;+1)*, or
-*~&zeta;*. Doing that conditionally based on *c3* is simply:
-
-```python
-    ...
-    c3 = c1 & c2
-    zeta ^= c3
-    ...
-```
-
-By replacing the loop in `divsteps_n_matrix` with a variant of the divstep code above (extended to
-also apply all *f* operations to *u*, *v* and all *g* operations to *q*, *r*), a constant-time version of
-`divsteps_n_matrix` is obtained. The full code will be in section 7.
-
-These bit fiddling tricks can also be used to make the conditional negations and additions in
-`update_de` and `normalize` constant-time.
-
-
-## 6. Variable-time optimizations
-
-In section 5, we modified the `divsteps_n_matrix` function (and a few others) to be constant time.
-Constant time operations are only necessary when computing modular inverses of secret data. In
-other cases, it slows down calculations unnecessarily. In this section, we will construct a
-faster non-constant time `divsteps_n_matrix` function.
-
-To do so, first consider yet another way of writing the inner loop of divstep operations in
-`gcd` from section 1. This decomposition is also explained in the paper in section 8.2. We use
-the original version with initial *&delta;=1* and *&eta;=-&delta;* here.
-
-```python
-for _ in range(N):
-    if g & 1 and eta < 0:
-        eta, f, g = -eta, g, -f
-    if g & 1:
-        g += f
-    eta -= 1
-    g >>= 1
-```
-
-Whenever *g* is even, the loop only shifts *g* down and decreases *&eta;*. When *g* ends in multiple zero
-bits, these iterations can be consolidated into one step. This requires counting the bottom zero
-bits efficiently, which is possible on most platforms; it is abstracted here as the function
-`count_trailing_zeros`.
-
-```python
-def count_trailing_zeros(v):
-    """
-    When v is zero, consider all N zero bits as "trailing".
-    For a non-zero value v, find z such that v=(d<<z) for some odd d.
-    """
-    if v == 0:
-        return N
-    else:
-        return (v & -v).bit_length() - 1
-
-i = N # divsteps left to do
-while True:
-    # Get rid of all bottom zeros at once. In the first iteration, g may be odd and the following
-    # lines have no effect (until "if eta < 0").
-    zeros = min(i, count_trailing_zeros(g))
-    eta -= zeros
-    g >>= zeros
-    i -= zeros
-    if i == 0:
-        break
-    # We know g is odd now
-    if eta < 0:
-        eta, f, g = -eta, g, -f
-    g += f
-    # g is even now, and the eta decrement and g shift will happen in the next loop.
-```
-
-We can now remove multiple bottom *0* bits from *g* at once, but still need a full iteration whenever
-there is a bottom *1* bit. In what follows, we will get rid of multiple *1* bits simultaneously as
-well.
-
-Observe that as long as *&eta; &geq; 0*, the loop does not modify *f*. Instead, it cancels out bottom
-bits of *g* and shifts them out, and decreases *&eta;* and *i* accordingly - interrupting only when *&eta;*
-becomes negative, or when *i* reaches *0*. Combined, this is equivalent to adding a multiple of *f* to
-*g* to cancel out multiple bottom bits, and then shifting them out.
-
-It is easy to find what that multiple is: we want a number *w* such that *g+w&thinsp;f* has a few bottom
-zero bits. If that number of bits is *L*, we want *g+w&thinsp;f mod 2<sup>L</sup> = 0*, or *w = -g/f mod 2<sup>L</sup>*. Since *f*
-is odd, such a *w* exists for any *L*. *L* cannot be more than *i* steps (as we'd finish the loop before
-doing more) or more than *&eta;+1* steps (as we'd run `eta, f, g = -eta, g, -f` at that point), but
-apart from that, we're only limited by the complexity of computing *w*.
-
-This code demonstrates how to cancel up to 4 bits per step:
-
-```python
-NEGINV16 = [15, 5, 3, 9, 7, 13, 11, 1] # NEGINV16[n//2] = (-n)^-1 mod 16, for odd n
-i = N
-while True:
-    zeros = min(i, count_trailing_zeros(g))
-    eta -= zeros
-    g >>= zeros
-    i -= zeros
-    if i == 0:
-        break
-    # We know g is odd now
-    if eta < 0:
-        eta, f, g = -eta, g, -f
-    # Compute limit on number of bits to cancel
-    limit = min(min(eta + 1, i), 4)
-    # Compute w = -g/f mod 2**limit, using the table value for -1/f mod 2**4. Note that f is
-    # always odd, so its inverse modulo a power of two always exists.
-    w = (g * NEGINV16[(f & 15) // 2]) % (2**limit)
-    # As w = -g/f mod (2**limit), g+w*f mod 2**limit = 0 mod 2**limit.
-    g += w * f
-    assert g % (2**limit) == 0
-    # The next iteration will now shift out at least limit bottom zero bits from g.
-```
-
-By using a bigger table more bits can be cancelled at once. The table can also be implemented
-as a formula. Several formulas are known for computing modular inverses modulo powers of two;
-some can be found in Hacker's Delight second edition by Henry S. Warren, Jr. pages 245-247.
-Here we need the negated modular inverse, which is a simple transformation of those:
-
-- Instead of a 3-bit table:
-  - *-f* or *f ^ 6*
-- Instead of a 4-bit table:
-  - *1 - f(f + 1)*
-  - *-(f + (((f + 1) & 4) << 1))*
-- For larger tables the following technique can be used: if *w=-1/f mod 2<sup>L</sup>*, then *w(w&thinsp;f+2)* is
-  *-1/f mod 2<sup>2L</sup>*. This allows extending the previous formulas (or tables). In particular we
-  have this 6-bit function (based on the 3-bit function above):
-  - *f(f<sup>2</sup> - 2)*
-
-This loop, again extended to also handle *u*, *v*, *q*, and *r* alongside *f* and *g*, placed in
-`divsteps_n_matrix`, gives a significantly faster, but non-constant time version.
-
-
-## 7. Final Python version
-
-All together we need the following functions:
-
-- A way to compute the transition matrix in constant time, using the `divsteps_n_matrix` function
-  from section 2, but with its loop replaced by a variant of the constant-time divstep from
-  section 5, extended to handle *u*, *v*, *q*, *r*:
-
-```python
-def divsteps_n_matrix(zeta, f, g):
-    """Compute zeta and transition matrix t after N divsteps (multiplied by 2^N)."""
-    u, v, q, r = 1, 0, 0, 1 # start with identity matrix
-    for _ in range(N):
-        c1 = zeta >> 63
-        # Compute x, y, z as conditionally-negated versions of f, u, v.
-        x, y, z = (f ^ c1) - c1, (u ^ c1) - c1, (v ^ c1) - c1
-        c2 = -(g & 1)
-        # Conditionally add x, y, z to g, q, r.
-        g, q, r = g + (x & c2), q + (y & c2), r + (z & c2)
-        c1 &= c2                     # reusing c1 here for the earlier c3 variable
-        zeta = (zeta ^ c1) - 1       # inlining the unconditional zeta decrement here
-        # Conditionally add g, q, r to f, u, v.
-        f, u, v = f + (g & c1), u + (q & c1), v + (r & c1)
-        # When shifting g down, don't shift q, r, as we construct a transition matrix multiplied
-        # by 2^N. Instead, shift f's coefficients u and v up.
-        g, u, v = g >> 1, u << 1, v << 1
-    return zeta, (u, v, q, r)
-```
-
-- The functions to update *f* and *g*, and *d* and *e*, from section 2 and section 4, with the constant-time
-  changes to `update_de` from section 5:
-
-```python
-def update_fg(f, g, t):
-    """Multiply matrix t/2^N with [f, g]."""
-    u, v, q, r = t
-    cf, cg = u*f + v*g, q*f + r*g
-    return cf >> N, cg >> N
-
-def update_de(d, e, t, M, Mi):
-    """Multiply matrix t/2^N with [d, e], modulo M."""
-    u, v, q, r = t
-    d_sign, e_sign = d >> 257, e >> 257
-    md, me = (u & d_sign) + (v & e_sign), (q & d_sign) + (r & e_sign)
-    cd, ce = (u*d + v*e) % 2**N, (q*d + r*e) % 2**N
-    md -= (Mi*cd + md) % 2**N
-    me -= (Mi*ce + me) % 2**N
-    cd, ce = u*d + v*e + M*md, q*d + r*e + M*me
-    return cd >> N, ce >> N
-```
-
-- The `normalize` function from section 4, made constant time as well:
-
-```python
-def normalize(sign, v, M):
-    """Compute sign*v mod M, where v in (-2*M,M); output in [0,M)."""
-    v_sign = v >> 257
-    # Conditionally add M to v.
-    v += M & v_sign
-    c = (sign - 1) >> 1
-    # Conditionally negate v.
-    v = (v ^ c) - c
-    v_sign = v >> 257
-    # Conditionally add M to v again.
-    v += M & v_sign
-    return v
-```
-
-- And finally the `modinv` function too, adapted to use *&zeta;* instead of *&delta;*, and using the fixed
-  iteration count from section 5:
-
-```python
-def modinv(M, Mi, x):
-    """Compute the modular inverse of x mod M, given Mi=1/M mod 2^N."""
-    zeta, f, g, d, e = -1, M, x, 0, 1
-    for _ in range((590 + N - 1) // N):
-        zeta, t = divsteps_n_matrix(zeta, f % 2**N, g % 2**N)
-        f, g = update_fg(f, g, t)
-        d, e = update_de(d, e, t, M, Mi)
-    return normalize(f, d, M)
-```
-
-- To get a variable time version, replace the `divsteps_n_matrix` function with one that uses the
-  divsteps loop from section 5, and a `modinv` version that calls it without the fixed iteration
-  count:
-
-```python
-NEGINV16 = [15, 5, 3, 9, 7, 13, 11, 1] # NEGINV16[n//2] = (-n)^-1 mod 16, for odd n
-def divsteps_n_matrix_var(eta, f, g):
-    """Compute eta and transition matrix t after N divsteps (multiplied by 2^N)."""
-    u, v, q, r = 1, 0, 0, 1
-    i = N
-    while True:
-        zeros = min(i, count_trailing_zeros(g))
-        eta, i = eta - zeros, i - zeros
-        g, u, v = g >> zeros, u << zeros, v << zeros
-        if i == 0:
-            break
-        if eta < 0:
-            eta, f, u, v, g, q, r = -eta, g, q, r, -f, -u, -v
-        limit = min(min(eta + 1, i), 4)
-        w = (g * NEGINV16[(f & 15) // 2]) % (2**limit)
-        g, q, r = g + w*f, q + w*u, r + w*v
-    return eta, (u, v, q, r)
-
-def modinv_var(M, Mi, x):
-    """Compute the modular inverse of x mod M, given Mi = 1/M mod 2^N."""
-    eta, f, g, d, e = -1, M, x, 0, 1
-    while g != 0:
-        eta, t = divsteps_n_matrix_var(eta, f % 2**N, g % 2**N)
-        f, g = update_fg(f, g, t)
-        d, e = update_de(d, e, t, M, Mi)
-    return normalize(f, d, Mi)
-```

examples/EXAMPLES_COPYING

@@ -1,121 +0,0 @@
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examples/ecdh.c

@@ -1,127 +0,0 @@
-/*************************************************************************
- * Written in 2020-2022 by Elichai Turkel                                *
- * To the extent possible under law, the author(s) have dedicated all    *
- * copyright and related and neighboring rights to the software in this  *
- * file to the public domain worldwide. This software is distributed     *
- * without any warranty. For the CC0 Public Domain Dedication, see       *
- * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
- *************************************************************************/
-
-#include <stdio.h>
-#include <assert.h>
-#include <string.h>
-
-#include <secp256k1.h>
-#include <secp256k1_ecdh.h>
-
-#include "random.h"
-
-
-int main(void) {
-    unsigned char seckey1[32];
-    unsigned char seckey2[32];
-    unsigned char compressed_pubkey1[33];
-    unsigned char compressed_pubkey2[33];
-    unsigned char shared_secret1[32];
-    unsigned char shared_secret2[32];
-    unsigned char randomize[32];
-    int return_val;
-    size_t len;
-    secp256k1_pubkey pubkey1;
-    secp256k1_pubkey pubkey2;
-
-    /* The specification in secp256k1.h states that `secp256k1_ec_pubkey_create`
-     * needs a context object initialized for signing, which is why we create
-     * a context with the SECP256K1_CONTEXT_SIGN flag.
-     * (The docs for `secp256k1_ecdh` don't require any special context, just
-     * some initialized context) */
-    secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
-    if (!fill_random(randomize, sizeof(randomize))) {
-        printf("Failed to generate randomness\n");
-        return 1;
-    }
-    /* Randomizing the context is recommended to protect against side-channel
-     * leakage See `secp256k1_context_randomize` in secp256k1.h for more
-     * information about it. This should never fail. */
-    return_val = secp256k1_context_randomize(ctx, randomize);
-    assert(return_val);
-
-    /*** Key Generation ***/
-
-    /* If the secret key is zero or out of range (bigger than secp256k1's
-     * order), we try to sample a new key. Note that the probability of this
-     * happening is negligible. */
-    while (1) {
-        if (!fill_random(seckey1, sizeof(seckey1)) || !fill_random(seckey2, sizeof(seckey2))) {
-            printf("Failed to generate randomness\n");
-            return 1;
-        }
-        if (secp256k1_ec_seckey_verify(ctx, seckey1) && secp256k1_ec_seckey_verify(ctx, seckey2)) {
-            break;
-        }
-    }
-
-    /* Public key creation using a valid context with a verified secret key should never fail */
-    return_val = secp256k1_ec_pubkey_create(ctx, &pubkey1, seckey1);
-    assert(return_val);
-    return_val = secp256k1_ec_pubkey_create(ctx, &pubkey2, seckey2);
-    assert(return_val);
-
-    /* Serialize pubkey1 in a compressed form (33 bytes), should always return 1 */
-    len = sizeof(compressed_pubkey1);
-    return_val = secp256k1_ec_pubkey_serialize(ctx, compressed_pubkey1, &len, &pubkey1, SECP256K1_EC_COMPRESSED);
-    assert(return_val);
-    /* Should be the same size as the size of the output, because we passed a 33 byte array. */
-    assert(len == sizeof(compressed_pubkey1));
-
-    /* Serialize pubkey2 in a compressed form (33 bytes) */
-    len = sizeof(compressed_pubkey2);
-    return_val = secp256k1_ec_pubkey_serialize(ctx, compressed_pubkey2, &len, &pubkey2, SECP256K1_EC_COMPRESSED);
-    assert(return_val);
-    /* Should be the same size as the size of the output, because we passed a 33 byte array. */
-    assert(len == sizeof(compressed_pubkey2));
-
-    /*** Creating the shared secret ***/
-
-    /* Perform ECDH with seckey1 and pubkey2. Should never fail with a verified
-     * seckey and valid pubkey */
-    return_val = secp256k1_ecdh(ctx, shared_secret1, &pubkey2, seckey1, NULL, NULL);
-    assert(return_val);
-
-    /* Perform ECDH with seckey2 and pubkey1. Should never fail with a verified
-     * seckey and valid pubkey */
-    return_val = secp256k1_ecdh(ctx, shared_secret2, &pubkey1, seckey2, NULL, NULL);
-    assert(return_val);
-
-    /* Both parties should end up with the same shared secret */
-    return_val = memcmp(shared_secret1, shared_secret2, sizeof(shared_secret1));
-    assert(return_val == 0);
-
-    printf("Secret Key1: ");
-    print_hex(seckey1, sizeof(seckey1));
-    printf("Compressed Pubkey1: ");
-    print_hex(compressed_pubkey1, sizeof(compressed_pubkey1));
-    printf("\nSecret Key2: ");
-    print_hex(seckey2, sizeof(seckey2));
-    printf("Compressed Pubkey2: ");
-    print_hex(compressed_pubkey2, sizeof(compressed_pubkey2));
-    printf("\nShared Secret: ");
-    print_hex(shared_secret1, sizeof(shared_secret1));
-
-    /* This will clear everything from the context and free the memory */
-    secp256k1_context_destroy(ctx);
-
-    /* It's best practice to try to clear secrets from memory after using them.
-     * This is done because some bugs can allow an attacker to leak memory, for
-     * example through "out of bounds" array access (see Heartbleed), Or the OS
-     * swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
-     *
-     * TODO: Prevent these writes from being optimized out, as any good compiler
-     * will remove any writes that aren't used. */
-    memset(seckey1, 0, sizeof(seckey1));
-    memset(seckey2, 0, sizeof(seckey2));
-    memset(shared_secret1, 0, sizeof(shared_secret1));
-    memset(shared_secret2, 0, sizeof(shared_secret2));
-
-    return 0;
-}

examples/ecdsa.c

@@ -1,137 +0,0 @@
-/*************************************************************************
- * Written in 2020-2022 by Elichai Turkel                                *
- * To the extent possible under law, the author(s) have dedicated all    *
- * copyright and related and neighboring rights to the software in this  *
- * file to the public domain worldwide. This software is distributed     *
- * without any warranty. For the CC0 Public Domain Dedication, see       *
- * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
- *************************************************************************/
-
-#include <stdio.h>
-#include <assert.h>
-#include <string.h>
-
-#include <secp256k1.h>
-
-#include "random.h"
-
-
-
-int main(void) {
-    /* Instead of signing the message directly, we must sign a 32-byte hash.
-     * Here the message is "Hello, world!" and the hash function was SHA-256.
-     * An actual implementation should just call SHA-256, but this example
-     * hardcodes the output to avoid depending on an additional library.
-     * See https://bitcoin.stackexchange.com/questions/81115/if-someone-wanted-to-pretend-to-be-satoshi-by-posting-a-fake-signature-to-defrau/81116#81116 */
-    unsigned char msg_hash[32] = {
-        0x31, 0x5F, 0x5B, 0xDB, 0x76, 0xD0, 0x78, 0xC4,
-        0x3B, 0x8A, 0xC0, 0x06, 0x4E, 0x4A, 0x01, 0x64,
-        0x61, 0x2B, 0x1F, 0xCE, 0x77, 0xC8, 0x69, 0x34,
-        0x5B, 0xFC, 0x94, 0xC7, 0x58, 0x94, 0xED, 0xD3,
-    };
-    unsigned char seckey[32];
-    unsigned char randomize[32];
-    unsigned char compressed_pubkey[33];
-    unsigned char serialized_signature[64];
-    size_t len;
-    int is_signature_valid;
-    int return_val;
-    secp256k1_pubkey pubkey;
-    secp256k1_ecdsa_signature sig;
-    /* The specification in secp256k1.h states that `secp256k1_ec_pubkey_create` needs
-     * a context object initialized for signing and `secp256k1_ecdsa_verify` needs
-     * a context initialized for verification, which is why we create a context
-     * for both signing and verification with the SECP256K1_CONTEXT_SIGN and
-     * SECP256K1_CONTEXT_VERIFY flags. */
-    secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-    if (!fill_random(randomize, sizeof(randomize))) {
-        printf("Failed to generate randomness\n");
-        return 1;
-    }
-    /* Randomizing the context is recommended to protect against side-channel
-     * leakage See `secp256k1_context_randomize` in secp256k1.h for more
-     * information about it. This should never fail. */
-    return_val = secp256k1_context_randomize(ctx, randomize);
-    assert(return_val);
-
-    /*** Key Generation ***/
-
-    /* If the secret key is zero or out of range (bigger than secp256k1's
-     * order), we try to sample a new key. Note that the probability of this
-     * happening is negligible. */
-    while (1) {
-        if (!fill_random(seckey, sizeof(seckey))) {
-            printf("Failed to generate randomness\n");
-            return 1;
-        }
-        if (secp256k1_ec_seckey_verify(ctx, seckey)) {
-            break;
-        }
-    }
-
-    /* Public key creation using a valid context with a verified secret key should never fail */
-    return_val = secp256k1_ec_pubkey_create(ctx, &pubkey, seckey);
-    assert(return_val);
-
-    /* Serialize the pubkey in a compressed form(33 bytes). Should always return 1. */
-    len = sizeof(compressed_pubkey);
-    return_val = secp256k1_ec_pubkey_serialize(ctx, compressed_pubkey, &len, &pubkey, SECP256K1_EC_COMPRESSED);
-    assert(return_val);
-    /* Should be the same size as the size of the output, because we passed a 33 byte array. */
-    assert(len == sizeof(compressed_pubkey));
-
-    /*** Signing ***/
-
-    /* Generate an ECDSA signature `noncefp` and `ndata` allows you to pass a
-     * custom nonce function, passing `NULL` will use the RFC-6979 safe default.
-     * Signing with a valid context, verified secret key
-     * and the default nonce function should never fail. */
-    return_val = secp256k1_ecdsa_sign(ctx, &sig, msg_hash, seckey, NULL, NULL);
-    assert(return_val);
-
-    /* Serialize the signature in a compact form. Should always return 1
-     * according to the documentation in secp256k1.h. */
-    return_val = secp256k1_ecdsa_signature_serialize_compact(ctx, serialized_signature, &sig);
-    assert(return_val);
-
-
-    /*** Verification ***/
-
-    /* Deserialize the signature. This will return 0 if the signature can't be parsed correctly. */
-    if (!secp256k1_ecdsa_signature_parse_compact(ctx, &sig, serialized_signature)) {
-        printf("Failed parsing the signature\n");
-        return 1;
-    }
-
-    /* Deserialize the public key. This will return 0 if the public key can't be parsed correctly. */
-    if (!secp256k1_ec_pubkey_parse(ctx, &pubkey, compressed_pubkey, sizeof(compressed_pubkey))) {
-        printf("Failed parsing the public key\n");
-        return 1;
-    }
-
-    /* Verify a signature. This will return 1 if it's valid and 0 if it's not. */
-    is_signature_valid = secp256k1_ecdsa_verify(ctx, &sig, msg_hash, &pubkey);
-
-    printf("Is the signature valid? %s\n", is_signature_valid ? "true" : "false");
-    printf("Secret Key: ");
-    print_hex(seckey, sizeof(seckey));
-    printf("Public Key: ");
-    print_hex(compressed_pubkey, sizeof(compressed_pubkey));
-    printf("Signature: ");
-    print_hex(serialized_signature, sizeof(serialized_signature));
-
-
-    /* This will clear everything from the context and free the memory */
-    secp256k1_context_destroy(ctx);
-
-    /* It's best practice to try to clear secrets from memory after using them.
-     * This is done because some bugs can allow an attacker to leak memory, for
-     * example through "out of bounds" array access (see Heartbleed), Or the OS
-     * swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
-     *
-     * TODO: Prevent these writes from being optimized out, as any good compiler
-     * will remove any writes that aren't used. */
-    memset(seckey, 0, sizeof(seckey));
-
-    return 0;
-}

examples/musig.c

@@ -1,212 +0,0 @@
-/*************************************************************************
- * Written in 2018 by Jonas Nick                                         *
- * To the extent possible under law, the author(s) have dedicated all    *
- * copyright and related and neighboring rights to the software in this  *
- * file to the public domain worldwide. This software is distributed     *
- * without any warranty. For the CC0 Public Domain Dedication, see       *
- * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
- *************************************************************************/
-
-/** This file demonstrates how to use the MuSig module to create a
- *  3-of-3 multisignature. Additionally, see the documentation in
- *  include/secp256k1_musig.h and src/modules/musig/musig.md.
- */
-
-#include <stdio.h>
-#include <assert.h>
-#include <secp256k1.h>
-#include <secp256k1_schnorrsig.h>
-#include <secp256k1_musig.h>
-
-#include "random.h"
-
-struct signer_secrets {
-    secp256k1_keypair keypair;
-    secp256k1_musig_secnonce secnonce;
-};
-
-struct signer {
-    secp256k1_xonly_pubkey pubkey;
-    secp256k1_musig_pubnonce pubnonce;
-    secp256k1_musig_partial_sig partial_sig;
-};
-
- /* Number of public keys involved in creating the aggregate signature */
-#define N_SIGNERS 3
-/* Create a key pair, store it in signer_secrets->keypair and signer->pubkey */
-int create_keypair(const secp256k1_context* ctx, struct signer_secrets *signer_secrets, struct signer *signer) {
-    unsigned char seckey[32];
-    while (1) {
-        if (!fill_random(seckey, sizeof(seckey))) {
-            printf("Failed to generate randomness\n");
-            return 1;
-        }
-        if (secp256k1_keypair_create(ctx, &signer_secrets->keypair, seckey)) {
-            break;
-        }
-    }
-    if (!secp256k1_keypair_xonly_pub(ctx, &signer->pubkey, NULL, &signer_secrets->keypair)) {
-        return 0;
-    }
-    return 1;
-}
-
-/* Tweak the pubkey corresponding to the provided keyagg cache, update the cache
- * and return the tweaked aggregate pk. */
-int tweak(const secp256k1_context* ctx, secp256k1_xonly_pubkey *agg_pk, secp256k1_musig_keyagg_cache *cache) {
-    secp256k1_pubkey output_pk;
-    unsigned char ordinary_tweak[32] = "this could be a BIP32 tweak....";
-    unsigned char xonly_tweak[32] = "this could be a taproot tweak..";
-
-
-    /* Ordinary tweaking which, for example, allows deriving multiple child
-     * public keys from a single aggregate key using BIP32 */
-    if (!secp256k1_musig_pubkey_ec_tweak_add(ctx, NULL, cache, ordinary_tweak)) {
-        return 0;
-    }
-    /* Note that we did not provided an output_pk argument, because the
-     * resulting pk is also saved in the cache and so if one is just interested
-     * in signing the output_pk argument is unnecessary. On the other hand, if
-     * one is not interested in signing, the same output_pk can be obtained by
-     * calling `secp256k1_musig_pubkey_get` right after key aggregation to get
-     * the full pubkey and then call `secp256k1_ec_pubkey_tweak_add`. */
-
-    /* Xonly tweaking which, for example, allows creating taproot commitments */
-    if (!secp256k1_musig_pubkey_xonly_tweak_add(ctx, &output_pk, cache, xonly_tweak)) {
-        return 0;
-    }
-    /* Note that if we wouldn't care about signing, we can arrive at the same
-     * output_pk by providing the untweaked public key to
-     * `secp256k1_xonly_pubkey_tweak_add` (after converting it to an xonly pubkey
-     * if necessary with `secp256k1_xonly_pubkey_from_pubkey`). */
-
-    /* Now we convert the output_pk to an xonly pubkey to allow to later verify
-     * the Schnorr signature against it. For this purpose we can ignore the
-     * `pk_parity` output argument; we would need it if we would have to open
-     * the taproot commitment. */
-    if (!secp256k1_xonly_pubkey_from_pubkey(ctx, agg_pk, NULL, &output_pk)) {
-        return 0;
-    }
-    return 1;
-}
-
-/* Sign a message hash with the given key pairs and store the result in sig */
-int sign(const secp256k1_context* ctx, struct signer_secrets *signer_secrets, struct signer *signer, const secp256k1_musig_keyagg_cache *cache, const unsigned char *msg32, unsigned char *sig64) {
-    int i;
-    const secp256k1_musig_pubnonce *pubnonces[N_SIGNERS];
-    const secp256k1_musig_partial_sig *partial_sigs[N_SIGNERS];
-    /* The same for all signers */
-    secp256k1_musig_session session;
-
-    for (i = 0; i < N_SIGNERS; i++) {
-        unsigned char seckey[32];
-        unsigned char session_id[32];
-        /* Create random session ID. It is absolutely necessary that the session ID
-         * is unique for every call of secp256k1_musig_nonce_gen. Otherwise
-         * it's trivial for an attacker to extract the secret key! */
-        if (!fill_random(session_id, sizeof(session_id))) {
-            return 0;
-        }
-        if (!secp256k1_keypair_sec(ctx, seckey, &signer_secrets[i].keypair)) {
-            return 0;
-        }
-        /* Initialize session and create secret nonce for signing and public
-         * nonce to send to the other signers. */
-        if (!secp256k1_musig_nonce_gen(ctx, &signer_secrets[i].secnonce, &signer[i].pubnonce, session_id, seckey, msg32, NULL, NULL)) {
-            return 0;
-        }
-        pubnonces[i] = &signer[i].pubnonce;
-    }
-    /* Communication round 1: A production system would exchange public nonces
-     * here before moving on. */
-    for (i = 0; i < N_SIGNERS; i++) {
-        secp256k1_musig_aggnonce agg_pubnonce;
-
-        /* Create aggregate nonce and initialize the session */
-        if (!secp256k1_musig_nonce_agg(ctx, &agg_pubnonce, pubnonces, N_SIGNERS)) {
-            return 0;
-        }
-        if (!secp256k1_musig_nonce_process(ctx, &session, &agg_pubnonce, msg32, cache, NULL)) {
-            return 0;
-        }
-        /* partial_sign will clear the secnonce by setting it to 0. That's because
-         * you must _never_ reuse the secnonce (or use the same session_id to
-         * create a secnonce). If you do, you effectively reuse the nonce and
-         * leak the secret key. */
-        if (!secp256k1_musig_partial_sign(ctx, &signer[i].partial_sig, &signer_secrets[i].secnonce, &signer_secrets[i].keypair, cache, &session)) {
-            return 0;
-        }
-        partial_sigs[i] = &signer[i].partial_sig;
-    }
-    /* Communication round 2: A production system would exchange
-     * partial signatures here before moving on. */
-    for (i = 0; i < N_SIGNERS; i++) {
-        /* To check whether signing was successful, it suffices to either verify
-         * the aggregate signature with the aggregate public key using
-         * secp256k1_schnorrsig_verify, or verify all partial signatures of all
-         * signers individually. Verifying the aggregate signature is cheaper but
-         * verifying the individual partial signatures has the advantage that it
-         * can be used to determine which of the partial signatures are invalid
-         * (if any), i.e., which of the partial signatures cause the aggregate
-         * signature to be invalid and thus the protocol run to fail. It's also
-         * fine to first verify the aggregate sig, and only verify the individual
-         * sigs if it does not work.
-         */
-        if (!secp256k1_musig_partial_sig_verify(ctx, &signer[i].partial_sig, &signer[i].pubnonce, &signer[i].pubkey, cache, &session)) {
-            return 0;
-        }
-    }
-    return secp256k1_musig_partial_sig_agg(ctx, sig64, &session, partial_sigs, N_SIGNERS);
-}
-
- int main(void) {
-    secp256k1_context* ctx;
-    int i;
-    struct signer_secrets signer_secrets[N_SIGNERS];
-    struct signer signers[N_SIGNERS];
-    const secp256k1_xonly_pubkey *pubkeys_ptr[N_SIGNERS];
-    secp256k1_xonly_pubkey agg_pk;
-    secp256k1_musig_keyagg_cache cache;
-    unsigned char msg[32] = "this_could_be_the_hash_of_a_msg!";
-    unsigned char sig[64];
-
-    /* Create a context for signing and verification */
-    ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-    printf("Creating key pairs......");
-    for (i = 0; i < N_SIGNERS; i++) {
-        if (!create_keypair(ctx, &signer_secrets[i], &signers[i])) {
-            printf("FAILED\n");
-            return 1;
-        }
-        pubkeys_ptr[i] = &signers[i].pubkey;
-    }
-    printf("ok\n");
-    printf("Combining public keys...");
-    /* If you just want to aggregate and not sign the cache can be NULL */
-    if (!secp256k1_musig_pubkey_agg(ctx, NULL, &agg_pk, &cache, pubkeys_ptr, N_SIGNERS)) {
-        printf("FAILED\n");
-        return 1;
-    }
-    printf("ok\n");
-    printf("Tweaking................");
-    /* Optionally tweak the aggregate key */
-    if (!tweak(ctx, &agg_pk, &cache)) {
-        printf("FAILED\n");
-        return 1;
-    }
-    printf("ok\n");
-    printf("Signing message.........");
-    if (!sign(ctx, signer_secrets, signers, &cache, msg, sig)) {
-        printf("FAILED\n");
-        return 1;
-    }
-    printf("ok\n");
-    printf("Verifying signature.....");
-    if (!secp256k1_schnorrsig_verify(ctx, sig, msg, 32, &agg_pk)) {
-        printf("FAILED\n");
-        return 1;
-    }
-    printf("ok\n");
-    secp256k1_context_destroy(ctx);
-    return 0;
-}

examples/random.h

@@ -1,73 +0,0 @@
-/*************************************************************************
- * Copyright (c) 2020-2021 Elichai Turkel                                *
- * Distributed under the CC0 software license, see the accompanying file *
- * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
- *************************************************************************/
-
-/*
- * This file is an attempt at collecting best practice methods for obtaining randomness with different operating systems.
- * It may be out-of-date. Consult the documentation of the operating system before considering to use the methods below.
- *
- * Platform randomness sources:
- * Linux   -> `getrandom(2)`(`sys/random.h`), if not available `/dev/urandom` should be used. http://man7.org/linux/man-pages/man2/getrandom.2.html, https://linux.die.net/man/4/urandom
- * macOS   -> `getentropy(2)`(`sys/random.h`), if not available `/dev/urandom` should be used. https://www.unix.com/man-page/mojave/2/getentropy, https://opensource.apple.com/source/xnu/xnu-517.12.7/bsd/man/man4/random.4.auto.html
- * FreeBSD -> `getrandom(2)`(`sys/random.h`), if not available `kern.arandom` should be used. https://www.freebsd.org/cgi/man.cgi?query=getrandom, https://www.freebsd.org/cgi/man.cgi?query=random&sektion=4
- * OpenBSD -> `getentropy(2)`(`unistd.h`), if not available `/dev/urandom` should be used. https://man.openbsd.org/getentropy, https://man.openbsd.org/urandom
- * Windows -> `BCryptGenRandom`(`bcrypt.h`). https://docs.microsoft.com/en-us/windows/win32/api/bcrypt/nf-bcrypt-bcryptgenrandom
- */
-
-#if defined(_WIN32)
-#include <windows.h>
-#include <ntstatus.h>
-#include <bcrypt.h>
-#elif defined(__linux__) || defined(__APPLE__) || defined(__FreeBSD__)
-#include <sys/random.h>
-#elif defined(__OpenBSD__)
-#include <unistd.h>
-#else
-#error "Couldn't identify the OS"
-#endif
-
-#include <stddef.h>
-#include <limits.h>
-#include <stdio.h>
-
-
-/* Returns 1 on success, and 0 on failure. */
-static int fill_random(unsigned char* data, size_t size) {
-#if defined(_WIN32)
-    NTSTATUS res = BCryptGenRandom(NULL, data, size, BCRYPT_USE_SYSTEM_PREFERRED_RNG);
-    if (res != STATUS_SUCCESS || size > ULONG_MAX) {
-        return 0;
-    } else {
-        return 1;
-    }
-#elif defined(__linux__) || defined(__FreeBSD__)
-    /* If `getrandom(2)` is not available you should fallback to /dev/urandom */
-    ssize_t res = getrandom(data, size, 0);
-    if (res < 0 || (size_t)res != size ) {
-        return 0;
-    } else {
-        return 1;
-    }
-#elif defined(__APPLE__) || defined(__OpenBSD__)
-    /* If `getentropy(2)` is not available you should fallback to either
-     * `SecRandomCopyBytes` or /dev/urandom */
-    int res = getentropy(data, size);
-    if (res == 0) {
-        return 1;
-    } else {
-        return 0;
-    }
-#endif
-    return 0;
-}
-
-static void print_hex(unsigned char* data, size_t size) {
-    size_t i;
-    printf("0x");
-    for (i = 0; i < size; i++) {
-        printf("%02x", data[i]);
-    }
-    printf("\n");
-}

examples/schnorr.c

@@ -1,152 +0,0 @@
-/*************************************************************************
- * Written in 2020-2022 by Elichai Turkel                                *
- * To the extent possible under law, the author(s) have dedicated all    *
- * copyright and related and neighboring rights to the software in this  *
- * file to the public domain worldwide. This software is distributed     *
- * without any warranty. For the CC0 Public Domain Dedication, see       *
- * EXAMPLES_COPYING or https://creativecommons.org/publicdomain/zero/1.0 *
- *************************************************************************/
-
-#include <stdio.h>
-#include <assert.h>
-#include <string.h>
-
-#include <secp256k1.h>
-#include <secp256k1_extrakeys.h>
-#include <secp256k1_schnorrsig.h>
-
-#include "random.h"
-
-int main(void) {
-    unsigned char msg[12] = "Hello World!";
-    unsigned char msg_hash[32];
-    unsigned char tag[17] = "my_fancy_protocol";
-    unsigned char seckey[32];
-    unsigned char randomize[32];
-    unsigned char auxiliary_rand[32];
-    unsigned char serialized_pubkey[32];
-    unsigned char signature[64];
-    int is_signature_valid;
-    int return_val;
-    secp256k1_xonly_pubkey pubkey;
-    secp256k1_keypair keypair;
-    /* The specification in secp256k1_extrakeys.h states that `secp256k1_keypair_create`
-     * needs a context object initialized for signing. And in secp256k1_schnorrsig.h
-     * they state that `secp256k1_schnorrsig_verify` needs a context initialized for
-     * verification, which is why we create a context for both signing and verification
-     * with the SECP256K1_CONTEXT_SIGN and SECP256K1_CONTEXT_VERIFY flags. */
-    secp256k1_context* ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-    if (!fill_random(randomize, sizeof(randomize))) {
-        printf("Failed to generate randomness\n");
-        return 1;
-    }
-    /* Randomizing the context is recommended to protect against side-channel
-     * leakage See `secp256k1_context_randomize` in secp256k1.h for more
-     * information about it. This should never fail. */
-    return_val = secp256k1_context_randomize(ctx, randomize);
-    assert(return_val);
-
-    /*** Key Generation ***/
-
-    /* If the secret key is zero or out of range (bigger than secp256k1's
-     * order), we try to sample a new key. Note that the probability of this
-     * happening is negligible. */
-    while (1) {
-        if (!fill_random(seckey, sizeof(seckey))) {
-            printf("Failed to generate randomness\n");
-            return 1;
-        }
-        /* Try to create a keypair with a valid context, it should only fail if
-         * the secret key is zero or out of range. */
-        if (secp256k1_keypair_create(ctx, &keypair, seckey)) {
-            break;
-        }
-    }
-
-    /* Extract the X-only public key from the keypair. We pass NULL for
-     * `pk_parity` as the parity isn't needed for signing or verification.
-     * `secp256k1_keypair_xonly_pub` supports returning the parity for
-     * other use cases such as tests or verifying Taproot tweaks.
-     * This should never fail with a valid context and public key. */
-    return_val = secp256k1_keypair_xonly_pub(ctx, &pubkey, NULL, &keypair);
-    assert(return_val);
-
-    /* Serialize the public key. Should always return 1 for a valid public key. */
-    return_val = secp256k1_xonly_pubkey_serialize(ctx, serialized_pubkey, &pubkey);
-    assert(return_val);
-
-    /*** Signing ***/
-
-    /* Instead of signing (possibly very long) messages directly, we sign a
-     * 32-byte hash of the message in this example.
-     *
-     * We use secp256k1_tagged_sha256 to create this hash. This function expects
-     * a context-specific "tag", which restricts the context in which the signed
-     * messages should be considered valid. For example, if protocol A mandates
-     * to use the tag "my_fancy_protocol" and protocol B mandates to use the tag
-     * "my_boring_protocol", then signed messages from protocol A will never be
-     * valid in protocol B (and vice versa), even if keys are reused across
-     * protocols. This implements "domain separation", which is considered good
-     * practice. It avoids attacks in which users are tricked into signing a
-     * message that has intended consequences in the intended context (e.g.,
-     * protocol A) but would have unintended consequences if it were valid in
-     * some other context (e.g., protocol B). */
-    return_val = secp256k1_tagged_sha256(ctx, msg_hash, tag, sizeof(tag), msg, sizeof(msg));
-    assert(return_val);
-
-    /* Generate 32 bytes of randomness to use with BIP-340 schnorr signing. */
-    if (!fill_random(auxiliary_rand, sizeof(auxiliary_rand))) {
-        printf("Failed to generate randomness\n");
-        return 1;
-    }
-
-    /* Generate a Schnorr signature.
-     *
-     * We use the secp256k1_schnorrsig_sign32 function that provides a simple
-     * interface for signing 32-byte messages (which in our case is a hash of
-     * the actual message). BIP-340 recommends passing 32 bytes of randomness
-     * to the signing function to improve security against side-channel attacks.
-     * Signing with a valid context, a 32-byte message, a verified keypair, and
-     * any 32 bytes of auxiliary random data should never fail. */
-    return_val = secp256k1_schnorrsig_sign32(ctx, signature, msg_hash, &keypair, auxiliary_rand);
-    assert(return_val);
-
-    /*** Verification ***/
-
-    /* Deserialize the public key. This will return 0 if the public key can't
-     * be parsed correctly */
-    if (!secp256k1_xonly_pubkey_parse(ctx, &pubkey, serialized_pubkey)) {
-        printf("Failed parsing the public key\n");
-        return 1;
-    }
-
-    /* Compute the tagged hash on the received messages using the same tag as the signer. */
-    return_val = secp256k1_tagged_sha256(ctx, msg_hash, tag, sizeof(tag), msg, sizeof(msg));
-    assert(return_val);
-
-    /* Verify a signature. This will return 1 if it's valid and 0 if it's not. */
-    is_signature_valid = secp256k1_schnorrsig_verify(ctx, signature, msg_hash, 32, &pubkey);
-
-
-    printf("Is the signature valid? %s\n", is_signature_valid ? "true" : "false");
-    printf("Secret Key: ");
-    print_hex(seckey, sizeof(seckey));
-    printf("Public Key: ");
-    print_hex(serialized_pubkey, sizeof(serialized_pubkey));
-    printf("Signature: ");
-    print_hex(signature, sizeof(signature));
-
-    /* This will clear everything from the context and free the memory */
-    secp256k1_context_destroy(ctx);
-
-    /* It's best practice to try to clear secrets from memory after using them.
-     * This is done because some bugs can allow an attacker to leak memory, for
-     * example through "out of bounds" array access (see Heartbleed), Or the OS
-     * swapping them to disk. Hence, we overwrite the secret key buffer with zeros.
-     *
-     * TODO: Prevent these writes from being optimized out, as any good compiler
-     * will remove any writes that aren't used. */
-    memset(seckey, 0, sizeof(seckey));
-
-    return 0;
-}

include/secp256k1.h

@@ -7,16 +7,14 @@ extern "C" {
 
 #include <stddef.h>
 
-/* Unless explicitly stated all pointer arguments must not be NULL.
- *
- * The following rules specify the order of arguments in API calls:
+/* These rules specify the order of arguments in API calls:
  *
  * 1. Context pointers go first, followed by output arguments, combined
  *    output/input arguments, and finally input-only arguments.
- * 2. Array lengths always immediately follow the argument whose length
+ * 2. Array lengths always immediately the follow the argument whose length
  *    they describe, even if this violates rule 1.
  * 3. Within the OUT/OUTIN/IN groups, pointers to data that is typically generated
- *    later go first. This means: signatures, public nonces, secret nonces,
+ *    later go first. This means: signatures, public nonces, private nonces,
  *    messages, public keys, secret keys, tweaks.
  * 4. Arguments that are not data pointers go last, from more complex to less
  *    complex: function pointers, algorithm names, messages, void pointers,
@@ -63,9 +61,8 @@ typedef struct secp256k1_scratch_space_struct secp256k1_scratch_space;
  *  The exact representation of data inside is implementation defined and not
  *  guaranteed to be portable between different platforms or versions. It is
  *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- *  If you need to convert to a format suitable for storage or transmission,
- *  use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse. To
- *  compare keys, use secp256k1_ec_pubkey_cmp.
+ *  If you need to convert to a format suitable for storage, transmission, or
+ *  comparison, use secp256k1_ec_pubkey_serialize and secp256k1_ec_pubkey_parse.
  */
 typedef struct {
     unsigned char data[64];
@@ -130,17 +127,6 @@ typedef int (*secp256k1_nonce_function)(
 #  define SECP256K1_INLINE inline
 # endif
 
-/** When this header is used at build-time the SECP256K1_BUILD define needs to be set
- *  to correctly setup export attributes and nullness checks.  This is normally done
- *  by secp256k1.c but to guard against this header being included before secp256k1.c
- *  has had a chance to set the define (e.g. via test harnesses that just includes
- *  secp256k1.c) we set SECP256K1_NO_BUILD when this header is processed without the
- *  BUILD define so this condition can be caught.
- */
-#ifndef SECP256K1_BUILD
-# define SECP256K1_NO_BUILD
-#endif
-
 #ifndef SECP256K1_API
 # if defined(_WIN32)
 #  ifdef SECP256K1_BUILD
@@ -148,7 +134,7 @@ typedef int (*secp256k1_nonce_function)(
 #  else
 #   define SECP256K1_API
 #  endif
-# elif defined(__GNUC__) && (__GNUC__ >= 4) && defined(SECP256K1_BUILD)
+# elif defined(__GNUC__) && defined(SECP256K1_BUILD)
 #  define SECP256K1_API __attribute__ ((visibility ("default")))
 # else
 #  define SECP256K1_API
@@ -169,17 +155,6 @@ typedef int (*secp256k1_nonce_function)(
 #  define SECP256K1_ARG_NONNULL(_x)
 # endif
 
-/** Attribute for marking functions, types, and variables as deprecated */
-#if !defined(SECP256K1_BUILD) && defined(__has_attribute)
-# if __has_attribute(__deprecated__)
-#  define SECP256K1_DEPRECATED(_msg) __attribute__ ((__deprecated__(_msg)))
-# else
-#  define SECP256K1_DEPRECATED(_msg)
-# endif
-#else
-# define SECP256K1_DEPRECATED(_msg)
-#endif
-
 /** All flags' lower 8 bits indicate what they're for. Do not use directly. */
 #define SECP256K1_FLAGS_TYPE_MASK ((1 << 8) - 1)
 #define SECP256K1_FLAGS_TYPE_CONTEXT (1 << 0)
@@ -187,17 +162,15 @@ typedef int (*secp256k1_nonce_function)(
 /** The higher bits contain the actual data. Do not use directly. */
 #define SECP256K1_FLAGS_BIT_CONTEXT_VERIFY (1 << 8)
 #define SECP256K1_FLAGS_BIT_CONTEXT_SIGN (1 << 9)
-#define SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY (1 << 10)
 #define SECP256K1_FLAGS_BIT_COMPRESSION (1 << 8)
 
 /** Flags to pass to secp256k1_context_create, secp256k1_context_preallocated_size, and
  *  secp256k1_context_preallocated_create. */
 #define SECP256K1_CONTEXT_VERIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_VERIFY)
 #define SECP256K1_CONTEXT_SIGN (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_SIGN)
-#define SECP256K1_CONTEXT_DECLASSIFY (SECP256K1_FLAGS_TYPE_CONTEXT | SECP256K1_FLAGS_BIT_CONTEXT_DECLASSIFY)
 #define SECP256K1_CONTEXT_NONE (SECP256K1_FLAGS_TYPE_CONTEXT)
 
-/** Flag to pass to secp256k1_ec_pubkey_serialize. */
+/** Flag to pass to secp256k1_ec_pubkey_serialize and secp256k1_ec_privkey_export. */
 #define SECP256K1_EC_COMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION | SECP256K1_FLAGS_BIT_COMPRESSION)
 #define SECP256K1_EC_UNCOMPRESSED (SECP256K1_FLAGS_TYPE_COMPRESSION)
 
@@ -237,7 +210,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_create(
  *  memory allocation entirely, see the functions in secp256k1_preallocated.h.
  *
  *  Returns: a newly created context object.
- *  Args:    ctx: an existing context to copy
+ *  Args:    ctx: an existing context to copy (cannot be NULL)
  */
 SECP256K1_API secp256k1_context* secp256k1_context_clone(
     const secp256k1_context* ctx
@@ -258,7 +231,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_clone(
  */
 SECP256K1_API void secp256k1_context_destroy(
     secp256k1_context* ctx
-) SECP256K1_ARG_NONNULL(1);
+);
 
 /** Set a callback function to be called when an illegal argument is passed to
  *  an API call. It will only trigger for violations that are mentioned
@@ -275,7 +248,7 @@ SECP256K1_API void secp256k1_context_destroy(
  *  undefined.
  *
  *  When this function has not been called (or called with fn==NULL), then the
- *  default handler will be used. The library provides a default handler which
+ *  default handler will be used. The library provides a default handler which
  *  writes the message to stderr and calls abort. This default handler can be
  *  replaced at link time if the preprocessor macro
  *  USE_EXTERNAL_DEFAULT_CALLBACKS is defined, which is the case if the build
@@ -285,15 +258,15 @@ SECP256K1_API void secp256k1_context_destroy(
  *   - void secp256k1_default_error_callback_fn(const char* message, void* data);
  *  The library can call these default handlers even before a proper callback data
  *  pointer could have been set using secp256k1_context_set_illegal_callback or
- *  secp256k1_context_set_error_callback, e.g., when the creation of a context
+ *  secp256k1_context_set_illegal_callback, e.g., when the creation of a context
  *  fails. In this case, the corresponding default handler will be called with
  *  the data pointer argument set to NULL.
  *
- *  Args: ctx:  an existing context object.
+ *  Args: ctx:  an existing context object (cannot be NULL)
  *  In:   fun:  a pointer to a function to call when an illegal argument is
  *              passed to the API, taking a message and an opaque pointer.
  *              (NULL restores the default handler.)
- *        data: the opaque pointer to pass to fun above, must be NULL for the default handler.
+ *        data: the opaque pointer to pass to fun above.
  *
  *  See also secp256k1_context_set_error_callback.
  */
@@ -313,12 +286,12 @@ SECP256K1_API void secp256k1_context_set_illegal_callback(
  *  for that). After this callback returns, anything may happen, including
  *  crashing.
  *
- *  Args: ctx:  an existing context object.
+ *  Args: ctx:  an existing context object (cannot be NULL)
  *  In:   fun:  a pointer to a function to call when an internal error occurs,
  *              taking a message and an opaque pointer (NULL restores the
  *              default handler, see secp256k1_context_set_illegal_callback
  *              for details).
- *        data: the opaque pointer to pass to fun above, must be NULL for the default handler.
+ *        data: the opaque pointer to pass to fun above.
  *
  *  See also secp256k1_context_set_illegal_callback.
  */
@@ -331,7 +304,7 @@ SECP256K1_API void secp256k1_context_set_error_callback(
 /** Create a secp256k1 scratch space object.
  *
  *  Returns: a newly created scratch space.
- *  Args: ctx:  an existing context object.
+ *  Args: ctx:  an existing context object (cannot be NULL)
  *  In:   size: amount of memory to be available as scratch space. Some extra
  *              (<100 bytes) will be allocated for extra accounting.
  */
@@ -395,21 +368,6 @@ SECP256K1_API int secp256k1_ec_pubkey_serialize(
     unsigned int flags
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
-/** Compare two public keys using lexicographic (of compressed serialization) order
- *
- *  Returns: <0 if the first public key is less than the second
- *           >0 if the first public key is greater than the second
- *           0 if the two public keys are equal
- *  Args: ctx:      a secp256k1 context object.
- *  In:   pubkey1:  first public key to compare
- *        pubkey2:  second public key to compare
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_cmp(
-    const secp256k1_context* ctx,
-    const secp256k1_pubkey* pubkey1,
-    const secp256k1_pubkey* pubkey2
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
 /** Parse an ECDSA signature in compact (64 bytes) format.
  *
  *  Returns: 1 when the signature could be parsed, 0 otherwise.
@@ -491,16 +449,9 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
  *  Returns: 1: correct signature
  *           0: incorrect or unparseable signature
  *  Args:    ctx:       a secp256k1 context object, initialized for verification.
- *  In:      sig:       the signature being verified.
- *           msghash32: the 32-byte message hash being verified.
- *                      The verifier must make sure to apply a cryptographic
- *                      hash function to the message by itself and not accept an
- *                      msghash32 value directly. Otherwise, it would be easy to
- *                      create a "valid" signature without knowledge of the
- *                      secret key. See also
- *                      https://bitcoin.stackexchange.com/a/81116/35586 for more
- *                      background on this topic.
- *           pubkey:    pointer to an initialized public key to verify with.
+ *  In:      sig:       the signature being verified (cannot be NULL)
+ *           msg32:     the 32-byte message hash being verified (cannot be NULL)
+ *           pubkey:    pointer to an initialized public key to verify with (cannot be NULL)
  *
  * To avoid accepting malleable signatures, only ECDSA signatures in lower-S
  * form are accepted.
@@ -514,7 +465,7 @@ SECP256K1_API int secp256k1_ecdsa_signature_serialize_compact(
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
     const secp256k1_context* ctx,
     const secp256k1_ecdsa_signature *sig,
-    const unsigned char *msghash32,
+    const unsigned char *msg32,
     const secp256k1_pubkey *pubkey
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
@@ -526,7 +477,8 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_verify(
  *                or copy if the input was already normalized. (can be NULL if
  *                you're only interested in whether the input was already
  *                normalized).
- *  In:   sigin:  a pointer to a signature to check/normalize (can be identical to sigout)
+ *  In:   sigin:  a pointer to a signature to check/normalize (cannot be NULL,
+ *                can be identical to sigout)
  *
  *  With ECDSA a third-party can forge a second distinct signature of the same
  *  message, given a single initial signature, but without knowing the key. This
@@ -577,17 +529,13 @@ SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_def
 /** Create an ECDSA signature.
  *
  *  Returns: 1: signature created
- *           0: the nonce generation function failed, or the secret key was invalid.
- *  Args:    ctx:       pointer to a context object, initialized for signing.
- *  Out:     sig:       pointer to an array where the signature will be placed.
- *  In:      msghash32: the 32-byte message hash being signed.
- *           seckey:    pointer to a 32-byte secret key.
- *           noncefp:   pointer to a nonce generation function. If NULL,
- *                      secp256k1_nonce_function_default is used.
- *           ndata:     pointer to arbitrary data used by the nonce generation function
- *                      (can be NULL). If it is non-NULL and
- *                      secp256k1_nonce_function_default is used, then ndata must be a
- *                      pointer to 32-bytes of additional data.
+ *           0: the nonce generation function failed, or the private key was invalid.
+ *  Args:    ctx:    pointer to a context object, initialized for signing (cannot be NULL)
+ *  Out:     sig:    pointer to an array where the signature will be placed (cannot be NULL)
+ *  In:      msg32:  the 32-byte message hash being signed (cannot be NULL)
+ *           seckey: pointer to a 32-byte secret key (cannot be NULL)
+ *           noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used
+ *           ndata:  pointer to arbitrary data used by the nonce generation function (can be NULL)
  *
  * The created signature is always in lower-S form. See
  * secp256k1_ecdsa_signature_normalize for more details.
@@ -595,23 +543,18 @@ SECP256K1_API extern const secp256k1_nonce_function secp256k1_nonce_function_def
 SECP256K1_API int secp256k1_ecdsa_sign(
     const secp256k1_context* ctx,
     secp256k1_ecdsa_signature *sig,
-    const unsigned char *msghash32,
+    const unsigned char *msg32,
     const unsigned char *seckey,
     secp256k1_nonce_function noncefp,
     const void *ndata
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
 /** Verify an ECDSA secret key.
- *
- *  A secret key is valid if it is not 0 and less than the secp256k1 curve order
- *  when interpreted as an integer (most significant byte first). The
- *  probability of choosing a 32-byte string uniformly at random which is an
- *  invalid secret key is negligible.
  *
  *  Returns: 1: secret key is valid
  *           0: secret key is invalid
- *  Args:    ctx: pointer to a context object.
- *  In:      seckey: pointer to a 32-byte secret key.
+ *  Args:    ctx: pointer to a context object (cannot be NULL)
+ *  In:      seckey: pointer to a 32-byte secret key (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
     const secp256k1_context* ctx,
@@ -620,11 +563,11 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_verify(
 
 /** Compute the public key for a secret key.
  *
- *  Returns: 1: secret was valid, public key stores.
- *           0: secret was invalid, try again.
- *  Args:    ctx:    pointer to a context object, initialized for signing.
- *  Out:     pubkey: pointer to the created public key.
- *  In:      seckey: pointer to a 32-byte secret key.
+ *  Returns: 1: secret was valid, public key stores
+ *           0: secret was invalid, try again
+ *  Args:   ctx:        pointer to a context object, initialized for signing (cannot be NULL)
+ *  Out:    pubkey:     pointer to the created public key (cannot be NULL)
+ *  In:     seckey:     pointer to a 32-byte private key (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
     const secp256k1_context* ctx,
@@ -632,138 +575,90 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_create(
     const unsigned char *seckey
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Negates a secret key in place.
+/** Negates a private key in place.
  *
- *  Returns: 0 if the given secret key is invalid according to
- *           secp256k1_ec_seckey_verify. 1 otherwise
- *  Args:   ctx:    pointer to a context object
- *  In/Out: seckey: pointer to the 32-byte secret key to be negated. If the
- *                  secret key is invalid according to
- *                  secp256k1_ec_seckey_verify, this function returns 0 and
- *                  seckey will be set to some unspecified value.
+ *  Returns: 1 always
+ *  Args:   ctx:        pointer to a context object
+ *  In/Out: seckey:     pointer to the 32-byte private key to be negated (cannot be NULL)
  */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_negate(
-    const secp256k1_context* ctx,
-    unsigned char *seckey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
-
-/** Same as secp256k1_ec_seckey_negate, but DEPRECATED. Will be removed in
- *  future versions. */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_negate(
     const secp256k1_context* ctx,
     unsigned char *seckey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2)
-  SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_negate instead");
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 
 /** Negates a public key in place.
  *
  *  Returns: 1 always
  *  Args:   ctx:        pointer to a context object
- *  In/Out: pubkey:     pointer to the public key to be negated.
+ *  In/Out: pubkey:     pointer to the public key to be negated (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_negate(
     const secp256k1_context* ctx,
     secp256k1_pubkey *pubkey
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 
-/** Tweak a secret key by adding tweak to it.
- *
- *  Returns: 0 if the arguments are invalid or the resulting secret key would be
- *           invalid (only when the tweak is the negation of the secret key). 1
- *           otherwise.
- *  Args:    ctx:   pointer to a context object.
- *  In/Out: seckey: pointer to a 32-byte secret key. If the secret key is
- *                  invalid according to secp256k1_ec_seckey_verify, this
- *                  function returns 0. seckey will be set to some unspecified
- *                  value if this function returns 0.
- *  In:    tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
- *                  secp256k1_ec_seckey_verify, this function returns 0. For
- *                  uniformly random 32-byte arrays the chance of being invalid
- *                  is negligible (around 1 in 2^128).
+/** Tweak a private key by adding tweak to it.
+ * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for
+ *          uniformly random 32-byte arrays, or if the resulting private key
+ *          would be invalid (only when the tweak is the complement of the
+ *          private key). 1 otherwise.
+ * Args:    ctx:    pointer to a context object (cannot be NULL).
+ * In/Out:  seckey: pointer to a 32-byte private key.
+ * In:      tweak:  pointer to a 32-byte tweak.
  */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_add(
-    const secp256k1_context* ctx,
-    unsigned char *seckey,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Same as secp256k1_ec_seckey_tweak_add, but DEPRECATED. Will be removed in
- *  future versions. */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_add(
     const secp256k1_context* ctx,
     unsigned char *seckey,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
-  SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_add instead");
+    const unsigned char *tweak
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
 /** Tweak a public key by adding tweak times the generator to it.
- *
- *  Returns: 0 if the arguments are invalid or the resulting public key would be
- *           invalid (only when the tweak is the negation of the corresponding
- *           secret key). 1 otherwise.
- *  Args:    ctx:   pointer to a context object initialized for validation.
- *  In/Out: pubkey: pointer to a public key object. pubkey will be set to an
- *                  invalid value if this function returns 0.
- *  In:    tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
- *                  secp256k1_ec_seckey_verify, this function returns 0. For
- *                  uniformly random 32-byte arrays the chance of being invalid
- *                  is negligible (around 1 in 2^128).
+ * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for
+ *          uniformly random 32-byte arrays, or if the resulting public key
+ *          would be invalid (only when the tweak is the complement of the
+ *          corresponding private key). 1 otherwise.
+ * Args:    ctx:    pointer to a context object initialized for validation
+ *                  (cannot be NULL).
+ * In/Out:  pubkey: pointer to a public key object.
+ * In:      tweak:  pointer to a 32-byte tweak.
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_add(
     const secp256k1_context* ctx,
     secp256k1_pubkey *pubkey,
-    const unsigned char *tweak32
+    const unsigned char *tweak
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Tweak a secret key by multiplying it by a tweak.
- *
- *  Returns: 0 if the arguments are invalid. 1 otherwise.
- *  Args:   ctx:    pointer to a context object.
- *  In/Out: seckey: pointer to a 32-byte secret key. If the secret key is
- *                  invalid according to secp256k1_ec_seckey_verify, this
- *                  function returns 0. seckey will be set to some unspecified
- *                  value if this function returns 0.
- *  In:    tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
- *                  secp256k1_ec_seckey_verify, this function returns 0. For
- *                  uniformly random 32-byte arrays the chance of being invalid
- *                  is negligible (around 1 in 2^128).
+/** Tweak a private key by multiplying it by a tweak.
+ * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for
+ *          uniformly random 32-byte arrays, or equal to zero. 1 otherwise.
+ * Args:   ctx:    pointer to a context object (cannot be NULL).
+ * In/Out: seckey: pointer to a 32-byte private key.
+ * In:     tweak:  pointer to a 32-byte tweak.
  */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_seckey_tweak_mul(
-    const secp256k1_context* ctx,
-    unsigned char *seckey,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Same as secp256k1_ec_seckey_tweak_mul, but DEPRECATED. Will be removed in
- *  future versions. */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_privkey_tweak_mul(
     const secp256k1_context* ctx,
     unsigned char *seckey,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3)
-  SECP256K1_DEPRECATED("Use secp256k1_ec_seckey_tweak_mul instead");
+    const unsigned char *tweak
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
 /** Tweak a public key by multiplying it by a tweak value.
- *
- *  Returns: 0 if the arguments are invalid. 1 otherwise.
- *  Args:    ctx:   pointer to a context object initialized for validation.
- *  In/Out: pubkey: pointer to a public key object. pubkey will be set to an
- *                  invalid value if this function returns 0.
- *  In:    tweak32: pointer to a 32-byte tweak. If the tweak is invalid according to
- *                  secp256k1_ec_seckey_verify, this function returns 0. For
- *                  uniformly random 32-byte arrays the chance of being invalid
- *                  is negligible (around 1 in 2^128).
+ * Returns: 0 if the tweak was out of range (chance of around 1 in 2^128 for
+ *          uniformly random 32-byte arrays, or equal to zero. 1 otherwise.
+ * Args:    ctx:    pointer to a context object initialized for validation
+ *                 (cannot be NULL).
+ * In/Out:  pubkey: pointer to a public key obkect.
+ * In:      tweak:  pointer to a 32-byte tweak.
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_tweak_mul(
     const secp256k1_context* ctx,
     secp256k1_pubkey *pubkey,
-    const unsigned char *tweak32
+    const unsigned char *tweak
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
 /** Updates the context randomization to protect against side-channel leakage.
  *  Returns: 1: randomization successfully updated or nothing to randomize
  *           0: error
- *  Args:    ctx:       pointer to a context object.
+ *  Args:    ctx:       pointer to a context object (cannot be NULL)
  *  In:      seed32:    pointer to a 32-byte random seed (NULL resets to initial state)
  *
  * While secp256k1 code is written to be constant-time no matter what secret
@@ -791,45 +686,20 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_context_randomize(
 ) SECP256K1_ARG_NONNULL(1);
 
 /** Add a number of public keys together.
- *
  *  Returns: 1: the sum of the public keys is valid.
  *           0: the sum of the public keys is not valid.
- *  Args:   ctx:        pointer to a context object.
- *  Out:    out:        pointer to a public key object for placing the resulting public key.
- *  In:     ins:        pointer to array of pointers to public keys.
- *          n:          the number of public keys to add together (must be at least 1).
+ *  Args:   ctx:        pointer to a context object
+ *  Out:    out:        pointer to a public key object for placing the resulting public key
+ *                      (cannot be NULL)
+ *  In:     ins:        pointer to array of pointers to public keys (cannot be NULL)
+ *          n:          the number of public keys to add together (must be at least 1)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ec_pubkey_combine(
     const secp256k1_context* ctx,
     secp256k1_pubkey *out,
     const secp256k1_pubkey * const * ins,
     size_t n
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Compute a tagged hash as defined in BIP-340.
- *
- *  This is useful for creating a message hash and achieving domain separation
- *  through an application-specific tag. This function returns
- *  SHA256(SHA256(tag)||SHA256(tag)||msg). Therefore, tagged hash
- *  implementations optimized for a specific tag can precompute the SHA256 state
- *  after hashing the tag hashes.
- *
- *  Returns: 1 always.
- *  Args:    ctx: pointer to a context object
- *  Out:  hash32: pointer to a 32-byte array to store the resulting hash
- *  In:      tag: pointer to an array containing the tag
- *        taglen: length of the tag array
- *           msg: pointer to an array containing the message
- *        msglen: length of the message array
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_tagged_sha256(
-    const secp256k1_context* ctx,
-    unsigned char *hash32,
-    const unsigned char *tag,
-    size_t taglen,
-    const unsigned char *msg,
-    size_t msglen
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
+) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
 #ifdef __cplusplus
 }

include/secp256k1_ecdh.h

@@ -7,51 +7,43 @@
 extern "C" {
 #endif
 
-/** A pointer to a function that hashes an EC point to obtain an ECDH secret
+/** A pointer to a function that applies hash function to a point
  *
- *  Returns: 1 if the point was successfully hashed.
- *           0 will cause secp256k1_ecdh to fail and return 0.
- *           Other return values are not allowed, and the behaviour of
- *           secp256k1_ecdh is undefined for other return values.
- *  Out:     output:     pointer to an array to be filled by the function
- *  In:      x32:        pointer to a 32-byte x coordinate
- *           y32:        pointer to a 32-byte y coordinate
- *           data:       arbitrary data pointer that is passed through
+ *  Returns: 1 if a point was successfully hashed. 0 will cause ecdh to fail
+ *  Out:    output:     pointer to an array to be filled by the function
+ *  In:     x:          pointer to a 32-byte x coordinate
+ *          y:          pointer to a 32-byte y coordinate
+ *          data:       Arbitrary data pointer that is passed through
  */
 typedef int (*secp256k1_ecdh_hash_function)(
   unsigned char *output,
-  const unsigned char *x32,
-  const unsigned char *y32,
+  const unsigned char *x,
+  const unsigned char *y,
   void *data
 );
 
-/** An implementation of SHA256 hash function that applies to compressed public key.
- * Populates the output parameter with 32 bytes. */
+/** An implementation of SHA256 hash function that applies to compressed public key. */
 SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_sha256;
 
-/** A default ECDH hash function (currently equal to secp256k1_ecdh_hash_function_sha256).
- * Populates the output parameter with 32 bytes. */
+/** A default ecdh hash function (currently equal to secp256k1_ecdh_hash_function_sha256). */
 SECP256K1_API extern const secp256k1_ecdh_hash_function secp256k1_ecdh_hash_function_default;
 
 /** Compute an EC Diffie-Hellman secret in constant time
- *
  *  Returns: 1: exponentiation was successful
- *           0: scalar was invalid (zero or overflow) or hashfp returned 0
- *  Args:    ctx:        pointer to a context object.
- *  Out:     output:     pointer to an array to be filled by hashfp.
- *  In:      pubkey:     a pointer to a secp256k1_pubkey containing an initialized public key.
- *           seckey:     a 32-byte scalar with which to multiply the point.
- *           hashfp:     pointer to a hash function. If NULL,
- *                       secp256k1_ecdh_hash_function_sha256 is used
- *                       (in which case, 32 bytes will be written to output).
- *           data:       arbitrary data pointer that is passed through to hashfp
- *                       (can be NULL for secp256k1_ecdh_hash_function_sha256).
+ *           0: scalar was invalid (zero or overflow)
+ *  Args:    ctx:        pointer to a context object (cannot be NULL)
+ *  Out:     output:     pointer to an array to be filled by the function
+ *  In:      pubkey:     a pointer to a secp256k1_pubkey containing an
+ *                       initialized public key
+ *           privkey:    a 32-byte scalar with which to multiply the point
+ *           hashfp:     pointer to a hash function. If NULL, secp256k1_ecdh_hash_function_sha256 is used
+ *           data:       Arbitrary data pointer that is passed through
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdh(
   const secp256k1_context* ctx,
   unsigned char *output,
   const secp256k1_pubkey *pubkey,
-  const unsigned char *seckey,
+  const unsigned char *privkey,
   secp256k1_ecdh_hash_function hashfp,
   void *data
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);

include/secp256k1_ecdsa_adaptor.h

@@ -1,162 +0,0 @@
-#ifndef SECP256K1_ECDSA_ADAPTOR_H
-#define SECP256K1_ECDSA_ADAPTOR_H
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-/** This module implements single signer ECDSA adaptor signatures following
- *  "One-Time Verifiably Encrypted Signatures A.K.A. Adaptor Signatures" by
- *  Lloyd Fournier
- *  (https://lists.linuxfoundation.org/pipermail/lightning-dev/2019-November/002316.html
- *  and https://github.com/LLFourn/one-time-VES/blob/master/main.pdf).
- *
- *  WARNING! DANGER AHEAD!
- *  As mentioned in Lloyd Fournier's paper, the adaptor signature leaks the
- *  Elliptic-curve Diffie–Hellman (ECDH) key between the signing key and the
- *  encryption key. This is not a problem for ECDSA adaptor signatures
- *  themselves, but may result in a complete loss of security when they are
- *  composed with other schemes. More specifically, let us refer to the
- *  signer's public key as X = x*G, and to the encryption key as Y = y*G.
- *  Given X, Y and the adaptor signature, it is trivial to compute Y^x = X^y.
- *
- *  A defense is to not reuse the signing key of ECDSA adaptor signatures in
- *  protocols that rely on the hardness of the CDH problem, e.g., Diffie-Hellman
- *  key exchange and ElGamal encryption. In general, it is a well-established
- *  cryptographic practice to seperate keys for different purposes whenever
- *  possible.
- */
-
-/** A pointer to a function to deterministically generate a nonce.
- *
- *  Same as secp256k1_nonce_function_hardened with the exception of using the
- *  compressed 33-byte encoding for the pubkey argument.
- *
- *  Returns: 1 if a nonce was successfully generated. 0 will cause signing to
- *           return an error.
- *  Out:     nonce32:   pointer to a 32-byte array to be filled by the function
- *  In:        msg32:   the 32-byte message hash being verified
- *             key32:   pointer to a 32-byte secret key
- *              pk33:   the 33-byte serialized pubkey corresponding to key32
- *              algo:   pointer to an array describing the signature algorithm
- *           algolen:   the length of the algo array
- *              data:   arbitrary data pointer that is passed through
- *
- *  Except for test cases, this function should compute some cryptographic hash of
- *  the message, the key, the pubkey, the algorithm description, and data.
- */
-typedef int (*secp256k1_nonce_function_hardened_ecdsa_adaptor)(
-    unsigned char *nonce32,
-    const unsigned char *msg32,
-    const unsigned char *key32,
-    const unsigned char *pk33,
-    const unsigned char *algo,
-    size_t algolen,
-    void *data
-);
-
-/** A modified BIP-340 nonce generation function. If a data pointer is passed, it is
- *  assumed to be a pointer to 32 bytes of auxiliary random data as defined in BIP-340.
- *  The hash will be tagged with algo after removing all terminating null bytes.
- */
-SECP256K1_API extern const secp256k1_nonce_function_hardened_ecdsa_adaptor secp256k1_nonce_function_ecdsa_adaptor;
-
-/** Encrypted Signing
- *
- *  Creates an adaptor signature, which includes a proof to verify the adaptor
- *  signature.
- *  WARNING: Make sure you have read and understood the WARNING at the top of
- *  this file and applied the suggested countermeasures.
- *
- *  Returns: 1 on success, 0 on failure
- *  Args:             ctx: a secp256k1 context object, initialized for signing
- *  Out:   adaptor_sig162: pointer to 162 byte to store the returned signature
- *  In:          seckey32: pointer to 32 byte secret key that will be used for
- *                         signing
- *                 enckey: pointer to the encryption public key
- *                  msg32: pointer to the 32-byte message hash to sign
- *                noncefp: pointer to a nonce generation function. If NULL,
- *                         secp256k1_nonce_function_ecdsa_adaptor is used
- *                  ndata: pointer to arbitrary data used by the nonce generation
- *                         function (can be NULL). If it is non-NULL and
- *                         secp256k1_nonce_function_ecdsa_adaptor is used, then
- *                         ndata must be a pointer to 32-byte auxiliary randomness
- *                         as per BIP-340.
- */
-SECP256K1_API int secp256k1_ecdsa_adaptor_encrypt(
-    const secp256k1_context* ctx,
-    unsigned char *adaptor_sig162,
-    unsigned char *seckey32,
-    const secp256k1_pubkey *enckey,
-    const unsigned char *msg32,
-    secp256k1_nonce_function_hardened_ecdsa_adaptor noncefp,
-    void *ndata
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
-/** Encryption Verification
- *
- *  Verifies that the adaptor decryption key can be extracted from the adaptor signature
- *  and the completed ECDSA signature.
- *
- *  Returns: 1 on success, 0 on failure
- *  Args:            ctx: a secp256k1 context object, initialized for verification
- *  In:   adaptor_sig162: pointer to 162-byte signature to verify
- *                pubkey: pointer to the public key corresponding to the secret key
- *                        used for signing
- *                 msg32: pointer to the 32-byte message hash being verified
- *                enckey: pointer to the adaptor encryption public key
- */
-SECP256K1_API int secp256k1_ecdsa_adaptor_verify(
-    const secp256k1_context* ctx,
-    const unsigned char *adaptor_sig162,
-    const secp256k1_pubkey *pubkey,
-    const unsigned char *msg32,
-    const secp256k1_pubkey *enckey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
-/** Signature Decryption
- *
- *  Derives an ECDSA signature from an adaptor signature and an adaptor decryption key.
- *
- *  Returns: 1 on success, 0 on failure
- *  Args:              ctx: a secp256k1 context object
- *  Out:               sig: pointer to the ECDSA signature to create
- *  In:           deckey32: pointer to 32-byte decryption secret key for the adaptor
- *                          encryption public key
- *          adaptor_sig162: pointer to 162-byte adaptor sig
- */
-SECP256K1_API int secp256k1_ecdsa_adaptor_decrypt(
-    const secp256k1_context* ctx,
-    secp256k1_ecdsa_signature *sig,
-    const unsigned char *deckey32,
-    const unsigned char *adaptor_sig162
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-/** Decryption Key Recovery
- *
- *  Extracts the adaptor decryption key from the complete signature and the adaptor
- *  signature.
- *
- *  Returns: 1 on success, 0 on failure
- *  Args:             ctx: a secp256k1 context object, initialized for signing
- *  Out:         deckey32: pointer to 32-byte adaptor decryption key for the adaptor
- *                         encryption public key
- *  In:               sig: pointer to ECDSA signature to recover the adaptor decryption
- *                         key from
- *         adaptor_sig162: pointer to adaptor signature to recover the adaptor
- *                         decryption key from
- *                 enckey: pointer to the adaptor encryption public key
- */
-SECP256K1_API int secp256k1_ecdsa_adaptor_recover(
-    const secp256k1_context* ctx,
-    unsigned char *deckey32,
-    const secp256k1_ecdsa_signature *sig,
-    const unsigned char *adaptor_sig162,
-    const secp256k1_pubkey *enckey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* SECP256K1_ECDSA_ADAPTOR_H */

include/secp256k1_ecdsa_s2c.h

@@ -1,234 +0,0 @@
-#ifndef SECP256K1_ECDSA_S2C_H
-#define SECP256K1_ECDSA_S2C_H
-
-#include "secp256k1.h"
-
-/** This module implements the sign-to-contract scheme for ECDSA signatures, as
- *  well as the "ECDSA Anti-Exfil Protocol" that is based on sign-to-contract
- *  and is specified further down. The sign-to-contract scheme allows creating a
- *  signature that also commits to some data. This works by offsetting the public
- *  nonce point of the signature R by hash(R, data)*G where G is the secp256k1
- *  group generator.
- */
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-/** Data structure that holds a sign-to-contract ("s2c") opening information.
- *  Sign-to-contract allows a signer to commit to some data as part of a signature. It
- *  can be used as an Out-argument in certain signing functions.
- *
- *  The exact representation of data inside is implementation defined and not
- *  guaranteed to be portable between different platforms or versions. It is
- *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- *  If you need to convert to a format suitable for storage, transmission, or
- *  comparison, use secp256k1_ecdsa_s2c_opening_serialize and secp256k1_ecdsa_s2c_opening_parse.
- */
-typedef struct {
-    unsigned char data[64];
-} secp256k1_ecdsa_s2c_opening;
-
-/** Parse a sign-to-contract opening.
- *
- *  Returns: 1 if the opening could be parsed
- *           0 if the opening could not be parsed
- *  Args:    ctx: a secp256k1 context object.
- *  Out: opening: pointer to an opening object. If 1 is returned, it is set to a
- *                parsed version of input. If not, its value is unspecified.
- *  In:  input33: pointer to 33-byte array with a serialized opening
- *
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_s2c_opening_parse(
-    const secp256k1_context* ctx,
-    secp256k1_ecdsa_s2c_opening* opening,
-    const unsigned char* input33
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Serialize a sign-to-contract opening into a byte sequence.
- *
- *  Returns: 1 if the opening was successfully serialized.
- *           0 if the opening could not be serialized
- *  Args:     ctx: a secp256k1 context object
- *  Out: output33: pointer to a 33-byte array to place the serialized opening in
- *  In:   opening: a pointer to an initialized `secp256k1_ecdsa_s2c_opening`
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_s2c_opening_serialize(
-    const secp256k1_context* ctx,
-    unsigned char* output33,
-    const secp256k1_ecdsa_s2c_opening* opening
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Same as secp256k1_ecdsa_sign, but s2c_data32 is committed to inside the nonce
- *
- *  Returns: 1: signature created
- *           0: the nonce generation function failed, or the private key was invalid.
- *  Args:    ctx:  pointer to a context object, initialized for signing (cannot be NULL)
- *  Out:     sig:  pointer to an array where the signature will be placed (cannot be NULL)
- *   s2c_opening:  if non-NULL, pointer to an secp256k1_ecdsa_s2c_opening structure to populate
- *  In:    msg32: the 32-byte message hash being signed (cannot be NULL)
- *        seckey: pointer to a 32-byte secret key (cannot be NULL)
- *    s2c_data32: pointer to a 32-byte data to commit to in the nonce (cannot be NULL)
- */
-SECP256K1_API int secp256k1_ecdsa_s2c_sign(
-    const secp256k1_context* ctx,
-    secp256k1_ecdsa_signature* sig,
-    secp256k1_ecdsa_s2c_opening* s2c_opening,
-    const unsigned char* msg32,
-    const unsigned char* seckey,
-    const unsigned char* s2c_data32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6);
-
-/** Verify a sign-to-contract commitment.
- *
- *  Returns: 1: the signature contains a commitment to data32 (though it does
- *              not necessarily need to be a valid siganture!)
- *           0: incorrect opening
- *  Args:    ctx: a secp256k1 context object, initialized for verification.
- *  In:      sig: the signature containing the sign-to-contract commitment (cannot be NULL)
- *        data32: the 32-byte data that was committed to (cannot be NULL)
- *       opening: pointer to the opening created during signing (cannot be NULL)
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_s2c_verify_commit(
-    const secp256k1_context* ctx,
-    const secp256k1_ecdsa_signature *sig,
-    const unsigned char *data32,
-    const secp256k1_ecdsa_s2c_opening *opening
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-
-/** ECDSA Anti-Exfil Protocol
- *
- *  The ecdsa_anti_exfil_* functions can be used to prevent a signing device from
- *  exfiltrating the secret signing keys through biased signature nonces. The general
- *  idea is that a host provides additional randomness to the signing device client
- *  and the client commits to the randomness in the nonce using sign-to-contract.
- *
- *  The following scheme is described by Stepan Snigirev here:
- *    https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2020-February/017655.html
- *  and by Pieter Wuille (as "Scheme 6") here:
- *    https://lists.linuxfoundation.org/pipermail/bitcoin-dev/2020-March/017667.html
- *
- *  In order to ensure the host cannot trick the signing device into revealing its
- *  keys, or the signing device to bias the nonce despite the host's contributions,
- *  the host and client must engage in a commit-reveal protocol as follows:
- *  1. The host draws randomness `rho` and computes a sha256 commitment to it using
- *     `secp256k1_ecdsa_anti_exfil_host_commit`. It sends this to the signing device.
- *  2. The signing device computes a public nonce `R` using the host's commitment
- *     as auxiliary randomness, using `secp256k1_ecdsa_anti_exfil_signer_commit`.
- *     The signing device sends the resulting `R` to the host as a s2c_opening.
- *
- *     If, at any point from this step onward, the hardware device fails, it is
- *     okay to restart the protocol using **exactly the same `rho`** and checking
- *     that the hardware device proposes **exactly the same** `R`. Otherwise, the
- *     hardware device may be selectively aborting and thereby biasing the set of
- *     nonces that are used in actual signatures.
- *
- *     It takes many (>100) such aborts before there is a plausible attack, given
- *     current knowledge in 2020. However such aborts accumulate even across a total
- *     replacement of all relevant devices (but not across replacement of the actual
- *     signing keys with new independently random ones).
- *
- *     In case the hardware device cannot be made to sign with the given `rho`, `R`
- *     pair, wallet authors should alert the user and present a very scary message
- *     implying that if this happens more than even a few times, say 20 or more times
- *     EVER, they should change hardware vendors and perhaps sweep their coins.
- *
- *  3. The host replies with `rho` generated in step 1.
- *  4. The device signs with `secp256k1_anti_exfil_sign`, using `rho` as `host_data32`,
- *     and sends the signature to the host.
- *  5. The host verifies that the signature's public nonce matches the opening from
- *     step 2 and its original randomness `rho`, using `secp256k1_anti_exfil_host_verify`.
- *
- *  Rationale:
- *      - The reason for having a host commitment is to allow the signing device to
- *        deterministically derive a unique nonce even if the host restarts the protocol
- *        using the same message and keys. Otherwise the signer might reuse the original
- *        nonce in two iterations of the protocol with different `rho`, which leaks the
- *        the secret key.
- *      - The signer does not need to check that the host commitment matches the host's
- *        claimed `rho`. Instead it re-derives the commitment (and its original `R`) from
- *        the provided `rho`. If this differs from the original commitment, the result
- *        will be an invalid `s2c_opening`, but since `R` was unique there is no risk to
- *        the signer's secret keys. Because of this, the signing device does not need to
- *        maintain any state about the progress of the protocol.
- */
-
-/** Create the initial host commitment to `rho`. Part of the ECDSA Anti-Exfil Protocol.
- *
- *  Returns 1 on success, 0 on failure.
- *  Args:              ctx: pointer to a context object (cannot be NULL)
- *  Out: rand_commitment32: pointer to 32-byte array to store the returned commitment (cannot be NULL)
- *  In:             rand32: the 32-byte randomness to commit to (cannot be NULL). It must come from
- *                          a cryptographically secure RNG. As per the protocol, this value must not
- *                          be revealed to the client until after the host has received the client
- *                          commitment.
- */
-SECP256K1_API int secp256k1_ecdsa_anti_exfil_host_commit(
-    const secp256k1_context* ctx,
-    unsigned char* rand_commitment32,
-    const unsigned char* rand32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Compute signer's original nonce. Part of the ECDSA Anti-Exfil Protocol.
- *
- *  Returns 1 on success, 0 on failure.
- *  Args:           ctx: pointer to a context object, initialized for signing (cannot be NULL)
- *  Out:    s2c_opening: pointer to an s2c_opening where the signer's public nonce will be
- *                       placed. (cannot be NULL)
- *  In:           msg32: the 32-byte message hash to be signed (cannot be NULL)
- *             seckey32: the 32-byte secret key used for signing (cannot be NULL)
- *    rand_commitment32: the 32-byte randomness commitment from the host (cannot be NULL)
- */
-SECP256K1_API int secp256k1_ecdsa_anti_exfil_signer_commit(
-    const secp256k1_context* ctx,
-    secp256k1_ecdsa_s2c_opening* s2c_opening,
-    const unsigned char* msg32,
-    const unsigned char* seckey32,
-    const unsigned char* rand_commitment32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
-/** Same as secp256k1_ecdsa_sign, but commits to host randomness in the nonce. Part of the
- *  ECDSA Anti-Exfil Protocol.
- *
- *  Returns: 1: signature created
- *           0: the nonce generation function failed, or the private key was invalid.
- *  Args:    ctx:  pointer to a context object, initialized for signing (cannot be NULL)
- *  Out:     sig:  pointer to an array where the signature will be placed (cannot be NULL)
- *  In:    msg32: the 32-byte message hash being signed (cannot be NULL)
- *        seckey: pointer to a 32-byte secret key (cannot be NULL)
- *   host_data32: pointer to 32-byte host-provided randomness (cannot be NULL)
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_anti_exfil_sign(
-    const secp256k1_context* ctx,
-    secp256k1_ecdsa_signature* sig,
-    const unsigned char* msg32,
-    const unsigned char* seckey,
-    const unsigned char* host_data32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
-/** Verify a signature was correctly constructed using the ECDSA Anti-Exfil Protocol.
- *
- *  Returns: 1: the signature is valid and contains a commitment to host_data32
- *           0: incorrect opening
- *  Args:    ctx: a secp256k1 context object, initialized for verification.
- *  In:      sig: the signature produced by the signer (cannot be NULL)
- *     msghash32: the 32-byte message hash being verified (cannot be NULL)
- *        pubkey: pointer to the signer's public key (cannot be NULL)
- *   host_data32: the 32-byte data provided by the host (cannot be NULL)
- *       opening: the s2c opening provided by the signer (cannot be NULL)
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_anti_exfil_host_verify(
-    const secp256k1_context* ctx,
-    const secp256k1_ecdsa_signature *sig,
-    const unsigned char *msg32,
-    const secp256k1_pubkey *pubkey,
-    const unsigned char *host_data32,
-    const secp256k1_ecdsa_s2c_opening *opening
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6);
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* SECP256K1_ECDSA_S2C_H */

include/secp256k1_extrakeys.h

@@ -1,263 +0,0 @@
-#ifndef SECP256K1_EXTRAKEYS_H
-#define SECP256K1_EXTRAKEYS_H
-
-#include "secp256k1.h"
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-/** Opaque data structure that holds a parsed and valid "x-only" public key.
- *  An x-only pubkey encodes a point whose Y coordinate is even. It is
- *  serialized using only its X coordinate (32 bytes). See BIP-340 for more
- *  information about x-only pubkeys.
- *
- *  The exact representation of data inside is implementation defined and not
- *  guaranteed to be portable between different platforms or versions. It is
- *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
- *  If you need to convert to a format suitable for storage, transmission, use
- *  use secp256k1_xonly_pubkey_serialize and secp256k1_xonly_pubkey_parse. To
- *  compare keys, use secp256k1_xonly_pubkey_cmp.
- */
-typedef struct {
-    unsigned char data[64];
-} secp256k1_xonly_pubkey;
-
-/** Opaque data structure that holds a keypair consisting of a secret and a
- *  public key.
- *
- *  The exact representation of data inside is implementation defined and not
- *  guaranteed to be portable between different platforms or versions. It is
- *  however guaranteed to be 96 bytes in size, and can be safely copied/moved.
- */
-typedef struct {
-    unsigned char data[96];
-} secp256k1_keypair;
-
-/** Parse a 32-byte sequence into a xonly_pubkey object.
- *
- *  Returns: 1 if the public key was fully valid.
- *           0 if the public key could not be parsed or is invalid.
- *
- *  Args:   ctx: a secp256k1 context object.
- *  Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to a
- *               parsed version of input. If not, it's set to an invalid value.
- *  In: input32: pointer to a serialized xonly_pubkey.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_parse(
-    const secp256k1_context* ctx,
-    secp256k1_xonly_pubkey* pubkey,
-    const unsigned char *input32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Serialize an xonly_pubkey object into a 32-byte sequence.
- *
- *  Returns: 1 always.
- *
- *  Args:     ctx: a secp256k1 context object.
- *  Out: output32: a pointer to a 32-byte array to place the serialized key in.
- *  In:    pubkey: a pointer to a secp256k1_xonly_pubkey containing an initialized public key.
- */
-SECP256K1_API int secp256k1_xonly_pubkey_serialize(
-    const secp256k1_context* ctx,
-    unsigned char *output32,
-    const secp256k1_xonly_pubkey* pubkey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Compare two x-only public keys using lexicographic order
- *
- *  Returns: <0 if the first public key is less than the second
- *           >0 if the first public key is greater than the second
- *           0 if the two public keys are equal
- *  Args: ctx:      a secp256k1 context object.
- *  In:   pubkey1:  first public key to compare
- *        pubkey2:  second public key to compare
- */
-SECP256K1_API int secp256k1_xonly_pubkey_cmp(
-    const secp256k1_context* ctx,
-    const secp256k1_xonly_pubkey* pk1,
-    const secp256k1_xonly_pubkey* pk2
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Converts a secp256k1_pubkey into a secp256k1_xonly_pubkey.
- *
- *  Returns: 1 always.
- *
- *  Args:         ctx: pointer to a context object.
- *  Out: xonly_pubkey: pointer to an x-only public key object for placing the converted public key.
- *          pk_parity: Ignored if NULL. Otherwise, pointer to an integer that
- *                     will be set to 1 if the point encoded by xonly_pubkey is
- *                     the negation of the pubkey and set to 0 otherwise.
- *  In:        pubkey: pointer to a public key that is converted.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_from_pubkey(
-    const secp256k1_context* ctx,
-    secp256k1_xonly_pubkey *xonly_pubkey,
-    int *pk_parity,
-    const secp256k1_pubkey *pubkey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4);
-
-/** Tweak an x-only public key by adding the generator multiplied with tweak32
- *  to it.
- *
- *  Note that the resulting point can not in general be represented by an x-only
- *  pubkey because it may have an odd Y coordinate. Instead, the output_pubkey
- *  is a normal secp256k1_pubkey.
- *
- *  Returns: 0 if the arguments are invalid or the resulting public key would be
- *           invalid (only when the tweak is the negation of the corresponding
- *           secret key). 1 otherwise.
- *
- *  Args:           ctx: pointer to a context object initialized for verification.
- *  Out:  output_pubkey: pointer to a public key to store the result. Will be set
- *                       to an invalid value if this function returns 0.
- *  In: internal_pubkey: pointer to an x-only pubkey to apply the tweak to.
- *              tweak32: pointer to a 32-byte tweak. If the tweak is invalid
- *                       according to secp256k1_ec_seckey_verify, this function
- *                       returns 0. For uniformly random 32-byte arrays the
- *                       chance of being invalid is negligible (around 1 in 2^128).
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add(
-    const secp256k1_context* ctx,
-    secp256k1_pubkey *output_pubkey,
-    const secp256k1_xonly_pubkey *internal_pubkey,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-/** Checks that a tweaked pubkey is the result of calling
- *  secp256k1_xonly_pubkey_tweak_add with internal_pubkey and tweak32.
- *
- *  The tweaked pubkey is represented by its 32-byte x-only serialization and
- *  its pk_parity, which can both be obtained by converting the result of
- *  tweak_add to a secp256k1_xonly_pubkey.
- *
- *  Note that this alone does _not_ verify that the tweaked pubkey is a
- *  commitment. If the tweak is not chosen in a specific way, the tweaked pubkey
- *  can easily be the result of a different internal_pubkey and tweak.
- *
- *  Returns: 0 if the arguments are invalid or the tweaked pubkey is not the
- *           result of tweaking the internal_pubkey with tweak32. 1 otherwise.
- *  Args:            ctx: pointer to a context object initialized for verification.
- *  In: tweaked_pubkey32: pointer to a serialized xonly_pubkey.
- *     tweaked_pk_parity: the parity of the tweaked pubkey (whose serialization
- *                        is passed in as tweaked_pubkey32). This must match the
- *                        pk_parity value that is returned when calling
- *                        secp256k1_xonly_pubkey with the tweaked pubkey, or
- *                        this function will fail.
- *       internal_pubkey: pointer to an x-only public key object to apply the tweak to.
- *               tweak32: pointer to a 32-byte tweak.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_xonly_pubkey_tweak_add_check(
-    const secp256k1_context* ctx,
-    const unsigned char *tweaked_pubkey32,
-    int tweaked_pk_parity,
-    const secp256k1_xonly_pubkey *internal_pubkey,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
-/** Sorts xonly public keys according to secp256k1_xonly_pubkey_cmp
- *
- *  Returns: 0 if the arguments are invalid. 1 otherwise.
- *
- *  Args:     ctx: pointer to a context object
- *  In:   pubkeys: array of pointers to pubkeys to sort
- *      n_pubkeys: number of elements in the pubkeys array
- */
-SECP256K1_API int secp256k1_xonly_sort(
-    const secp256k1_context* ctx,
-    const secp256k1_xonly_pubkey **pubkeys,
-    size_t n_pubkeys
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
-
-/** Compute the keypair for a secret key.
- *
- *  Returns: 1: secret was valid, keypair is ready to use
- *           0: secret was invalid, try again with a different secret
- *  Args:    ctx: pointer to a context object, initialized for signing.
- *  Out: keypair: pointer to the created keypair.
- *  In:   seckey: pointer to a 32-byte secret key.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_create(
-    const secp256k1_context* ctx,
-    secp256k1_keypair *keypair,
-    const unsigned char *seckey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Get the secret key from a keypair.
- *
- *  Returns: 1 always.
- *  Args:   ctx: pointer to a context object.
- *  Out: seckey: pointer to a 32-byte buffer for the secret key.
- *  In: keypair: pointer to a keypair.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_sec(
-    const secp256k1_context* ctx,
-    unsigned char *seckey,
-    const secp256k1_keypair *keypair
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Get the public key from a keypair.
- *
- *  Returns: 1 always.
- *  Args:    ctx: pointer to a context object.
- *  Out: pubkey: pointer to a pubkey object. If 1 is returned, it is set to
- *               the keypair public key. If not, it's set to an invalid value.
- *  In: keypair: pointer to a keypair.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_pub(
-    const secp256k1_context* ctx,
-    secp256k1_pubkey *pubkey,
-    const secp256k1_keypair *keypair
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Get the x-only public key from a keypair.
- *
- *  This is the same as calling secp256k1_keypair_pub and then
- *  secp256k1_xonly_pubkey_from_pubkey.
- *
- *  Returns: 1 always.
- *  Args:   ctx: pointer to a context object.
- *  Out: pubkey: pointer to an xonly_pubkey object. If 1 is returned, it is set
- *               to the keypair public key after converting it to an
- *               xonly_pubkey. If not, it's set to an invalid value.
- *    pk_parity: Ignored if NULL. Otherwise, pointer to an integer that will be set to the
- *               pk_parity argument of secp256k1_xonly_pubkey_from_pubkey.
- *  In: keypair: pointer to a keypair.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_pub(
-    const secp256k1_context* ctx,
-    secp256k1_xonly_pubkey *pubkey,
-    int *pk_parity,
-    const secp256k1_keypair *keypair
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4);
-
-/** Tweak a keypair by adding tweak32 to the secret key and updating the public
- *  key accordingly.
- *
- *  Calling this function and then secp256k1_keypair_pub results in the same
- *  public key as calling secp256k1_keypair_xonly_pub and then
- *  secp256k1_xonly_pubkey_tweak_add.
- *
- *  Returns: 0 if the arguments are invalid or the resulting keypair would be
- *           invalid (only when the tweak is the negation of the keypair's
- *           secret key). 1 otherwise.
- *
- *  Args:       ctx: pointer to a context object initialized for verification.
- *  In/Out: keypair: pointer to a keypair to apply the tweak to. Will be set to
- *                   an invalid value if this function returns 0.
- *  In:     tweak32: pointer to a 32-byte tweak. If the tweak is invalid according
- *                   to secp256k1_ec_seckey_verify, this function returns 0. For
- *                   uniformly random 32-byte arrays the chance of being invalid
- *                   is negligible (around 1 in 2^128).
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_keypair_xonly_tweak_add(
-    const secp256k1_context* ctx,
-    secp256k1_keypair *keypair,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif /* SECP256K1_EXTRAKEYS_H */

include/secp256k1_generator.h

@@ -82,7 +82,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_generator_generate(
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_generator_generate_blinded(
     const secp256k1_context* ctx,
     secp256k1_generator* gen,
-    const unsigned char *seed32,
+    const unsigned char *key32,
     const unsigned char *blind32
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 

include/secp256k1_musig.h

@@ -1,175 +1,304 @@
 #ifndef SECP256K1_MUSIG_H
 #define SECP256K1_MUSIG_H
 
-#include "secp256k1_extrakeys.h"
+#include <stdint.h>
 
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-#include <stddef.h>
-
-/** This module implements a Schnorr-based multi-signature scheme called MuSig2
- * (https://eprint.iacr.org/2020/1261, see Appendix B for the exact variant).
- * Signatures are compatible with BIP-340 ("Schnorr").
- * There's an example C source file in the module's directory
- * (examples/musig.c) that demonstrates how it can be used.
+/** This module implements a Schnorr-based multi-signature scheme called MuSig
+ * (https://eprint.iacr.org/2018/068.pdf). There's an example C source file in the
+ * module's directory (src/modules/musig/example.c) that demonstrates how it can be
+ * used.
  *
- * The module also supports BIP-341 ("Taproot") public key tweaking and adaptor
- * signatures as described in
- * https://github.com/ElementsProject/scriptless-scripts/pull/24.
- *
- * It is recommended to read the documentation in this include file carefully.
- * Further notes on API usage can be found in src/modules/musig/musig.md
- *
- * You may know that the MuSig2 scheme uses two "nonces" instead of one. This
- * is not wrong, but only a technical detail we don't want to bother the user
- * with. Therefore, the API only uses the singular term "nonce".
- *
- * Since the first version of MuSig is essentially replaced by MuSig2, when
- * writing MuSig or musig here we mean MuSig2.
+ * The documentation in this include file is for reference and may not be sufficient
+ * for users to begin using the library. A full description of API usage can be found
+ * in src/modules/musig/musig.md
  */
 
-/** Opaque data structures
+/** Data structure containing data related to a signing session resulting in a single
+ * signature.
  *
- *  The exact representation of data inside is implementation defined and not
- *  guaranteed to be portable between different platforms or versions. If you
- *  need to convert to a format suitable for storage, transmission, or
- *  comparison, use the corresponding serialization and parsing functions.
- */
-
-/** Opaque data structure that caches information about public key aggregation.
+ * This structure is not opaque, but it MUST NOT be copied or read or written to it
+ * directly. A signer who is online throughout the whole process and can keep this
+ * structure in memory can use the provided API functions for a safe standard
+ * workflow. See https://blockstream.com/2019/02/18/musig-a-new-multisignature-standard/
+ * for more details about the risks associated with serializing or deserializing this
+ * structure.
  *
- *  Guaranteed to be 165 bytes in size. It can be safely copied/moved. No
- *  serialization and parsing functions (yet).
+ * Fields:
+ *      combined_pk: MuSig-computed combined public key
+ *        n_signers: Number of signers
+ *          pk_hash: The 32-byte hash of the original public keys
+ *   combined_nonce: Summed combined public nonce (undefined if `nonce_is_set` is false)
+ *     nonce_is_set: Whether the above nonce has been set
+ * nonce_is_negated: If `nonce_is_set`, whether the above nonce was negated after
+ *                   summing the participants' nonces. Needed to ensure the nonce's y
+ *                   coordinate has a quadratic-residue y coordinate
+ *              msg: The 32-byte message (hash) to be signed
+ *       msg_is_set: Whether the above message has been set
+ *  has_secret_data: Whether this session object has a signers' secret data; if this
+ *                   is `false`, it may still be used for verification purposes.
+ *           seckey: If `has_secret_data`, the signer's secret key
+ *         secnonce: If `has_secret_data`, the signer's secret nonce
+ *            nonce: If `has_secret_data`, the signer's public nonce
+ * nonce_commitments_hash: If `has_secret_data` and `nonce_commitments_hash_is_set`,
+ *                   the hash of all signers' commitments
+ * nonce_commitments_hash_is_set: If `has_secret_data`, whether the
+ *                   nonce_commitments_hash has been set
  */
 typedef struct {
-    unsigned char data[165];
-} secp256k1_musig_keyagg_cache;
-
-/** Opaque data structure that holds a signer's _secret_ nonce.
- *
- *  Guaranteed to be 68 bytes in size.
- *
- *  WARNING: This structure MUST NOT be copied or read or written to directly. A
- *  signer who is online throughout the whole process and can keep this
- *  structure in memory can use the provided API functions for a safe standard
- *  workflow. See
- *  https://blockstream.com/2019/02/18/musig-a-new-multisignature-standard/ for
- *  more details about the risks associated with serializing or deserializing
- *  this structure.
- *
- *  We repeat, copying this data structure can result in nonce reuse which will
- *  leak the secret signing key.
- */
-typedef struct {
-    unsigned char data[68];
-} secp256k1_musig_secnonce;
-
-/** Opaque data structure that holds a signer's public nonce.
-*
-*  Guaranteed to be 132 bytes in size. It can be safely copied/moved. Serialized
-*  and parsed with `musig_pubnonce_serialize` and `musig_pubnonce_parse`.
-*/
-typedef struct {
-    unsigned char data[132];
-} secp256k1_musig_pubnonce;
-
-/** Opaque data structure that holds an aggregate public nonce.
- *
- *  Guaranteed to be 132 bytes in size. It can be safely copied/moved.
- *  Serialized and parsed with `musig_aggnonce_serialize` and
- *  `musig_aggnonce_parse`.
- */
-typedef struct {
-    unsigned char data[132];
-} secp256k1_musig_aggnonce;
-
-/** Opaque data structure that holds a MuSig session.
- *
- *  This structure is not required to be kept secret for the signing protocol to
- *  be secure. Guaranteed to be 133 bytes in size. It can be safely
- *  copied/moved. No serialization and parsing functions (yet).
- */
-typedef struct {
-    unsigned char data[133];
+    secp256k1_pubkey combined_pk;
+    uint32_t n_signers;
+    unsigned char pk_hash[32];
+    secp256k1_pubkey combined_nonce;
+    int nonce_is_set;
+    int nonce_is_negated;
+    unsigned char msg[32];
+    int msg_is_set;
+    int has_secret_data;
+    unsigned char seckey[32];
+    unsigned char secnonce[32];
+    secp256k1_pubkey nonce;
+    unsigned char nonce_commitments_hash[32];
+    int nonce_commitments_hash_is_set;
 } secp256k1_musig_session;
 
-/** Opaque data structure that holds a partial MuSig signature.
+/** Data structure containing data on all signers in a single session.
  *
- *  Guaranteed to be 36 bytes in size. Serialized and parsed with
- *  `musig_partial_sig_serialize` and `musig_partial_sig_parse`.
+ * The workflow for this structure is as follows:
+ *
+ * 1. This structure is initialized with `musig_session_initialize` or
+ *    `musig_session_initialize_verifier`, which set the `index` field, and zero out
+ *    all other fields. The public session is initialized with the signers'
+ *    nonce_commitments.
+ *
+ * 2. In a non-public session the nonce_commitments are set with the function
+ *    `musig_get_public_nonce`, which also returns the signer's public nonce. This
+ *    ensures that the public nonce is not exposed until all commitments have been
+ *    received.
+ *
+ * 3. Each individual data struct should be updated with `musig_set_nonce` once a
+ *    nonce is available. This function takes a single signer data struct rather than
+ *    an array because it may fail in the case that the provided nonce does not match
+ *    the commitment. In this case, it is desirable to identify the exact party whose
+ *    nonce was inconsistent.
+ *
+ * Fields:
+ *   present: indicates whether the signer's nonce is set
+ *     index: index of the signer in the MuSig key aggregation
+ *     nonce: public nonce, must be a valid curvepoint if the signer is `present`
+ * nonce_commitment: commitment to the nonce, or all-bits zero if a commitment
+ *                   has not yet been set
  */
 typedef struct {
-    unsigned char data[36];
-} secp256k1_musig_partial_sig;
+    int present;
+    uint32_t index;
+    secp256k1_pubkey nonce;
+    unsigned char nonce_commitment[32];
+} secp256k1_musig_session_signer_data;
 
-/** Parse a signer's public nonce.
+/** Opaque data structure that holds a MuSig partial signature.
  *
- *  Returns: 1 when the nonce could be parsed, 0 otherwise.
- *  Args:    ctx: a secp256k1 context object
- *  Out:   nonce: pointer to a nonce object
- *  In:     in66: pointer to the 66-byte nonce to be parsed
+ *  The exact representation of data inside is implementation defined and not
+ *  guaranteed to be portable between different platforms or versions. It is however
+ *  guaranteed to be 32 bytes in size, and can be safely copied/moved. If you need
+ *  to convert to a format suitable for storage, transmission, or comparison, use the
+ *  `musig_partial_signature_serialize` and `musig_partial_signature_parse`
+ *  functions.
  */
-SECP256K1_API int secp256k1_musig_pubnonce_parse(
+typedef struct {
+    unsigned char data[32];
+} secp256k1_musig_partial_signature;
+
+/** Computes a combined public key and the hash of the given public keys
+ *
+ *  Returns: 1 if the public keys were successfully combined, 0 otherwise
+ *  Args:        ctx: pointer to a context object initialized for verification
+ *                    (cannot be NULL)
+ *           scratch: scratch space used to compute the combined pubkey by
+ *                    multiexponentiation. If NULL, an inefficient algorithm is used.
+ *  Out: combined_pk: the MuSig-combined public key (cannot be NULL)
+ *         pk_hash32: if non-NULL, filled with the 32-byte hash of all input public
+ *                    keys in order to be used in `musig_session_initialize`.
+ *   In:     pubkeys: input array of public keys to combine. The order is important;
+ *                    a different order will result in a different combined public
+ *                    key (cannot be NULL)
+ *         n_pubkeys: length of pubkeys array
+ */
+SECP256K1_API int secp256k1_musig_pubkey_combine(
     const secp256k1_context* ctx,
-    secp256k1_musig_pubnonce* nonce,
-    const unsigned char *in66
+    secp256k1_scratch_space *scratch,
+    secp256k1_pubkey *combined_pk,
+    unsigned char *pk_hash32,
+    const secp256k1_pubkey *pubkeys,
+    size_t n_pubkeys
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
+
+/** Initializes a signing session for a signer
+ *
+ *  Returns: 1: session is successfully initialized
+ *           0: session could not be initialized: secret key or secret nonce overflow
+ *  Args:         ctx: pointer to a context object, initialized for signing (cannot
+ *                     be NULL)
+ *  Out:      session: the session structure to initialize (cannot be NULL)
+ *            signers: an array of signers' data to be initialized. Array length must
+ *                     equal to `n_signers` (cannot be NULL)
+ * nonce_commitment32: filled with a 32-byte commitment to the generated nonce
+ *                     (cannot be NULL)
+ *  In:  session_id32: a *unique* 32-byte ID to assign to this session (cannot be
+ *                     NULL). If a non-unique session_id32 was given then a partial
+ *                     signature will LEAK THE SECRET KEY.
+ *              msg32: the 32-byte message to be signed. Shouldn't be NULL unless you
+ *                     require sharing public nonces before the message is known
+ *                     because it reduces nonce misuse resistance. If NULL, must be
+ *                     set with `musig_session_set_msg` before signing and verifying.
+ *        combined_pk: the combined public key of all signers (cannot be NULL)
+ *          pk_hash32: the 32-byte hash of the signers' individual keys (cannot be
+ *                     NULL)
+ *          n_signers: length of signers array. Number of signers participating in
+ *                     the MuSig. Must be greater than 0 and at most 2^32 - 1.
+ *           my_index: index of this signer in the signers array
+ *             seckey: the signer's 32-byte secret key (cannot be NULL)
+ */
+SECP256K1_API int secp256k1_musig_session_initialize(
+    const secp256k1_context* ctx,
+    secp256k1_musig_session *session,
+    secp256k1_musig_session_signer_data *signers,
+    unsigned char *nonce_commitment32,
+    const unsigned char *session_id32,
+    const unsigned char *msg32,
+    const secp256k1_pubkey *combined_pk,
+    const unsigned char *pk_hash32,
+    size_t n_signers,
+    size_t my_index,
+    const unsigned char *seckey
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8) SECP256K1_ARG_NONNULL(11);
+
+/** Gets the signer's public nonce given a list of all signers' data with commitments
+ *
+ *  Returns: 1: public nonce is written in nonce
+ *           0: signer data is missing commitments or session isn't initialized
+ *              for signing
+ *  Args:        ctx: pointer to a context object (cannot be NULL)
+ *           session: the signing session to get the nonce from (cannot be NULL)
+ *           signers: an array of signers' data initialized with
+ *                    `musig_session_initialize`. Array length must equal to
+ *                    `n_commitments` (cannot be NULL)
+ *  Out:       nonce: the nonce (cannot be NULL)
+ *  In:  commitments: array of 32-byte nonce commitments (cannot be NULL)
+ *     n_commitments: the length of commitments and signers array. Must be the total
+ *                    number of signers participating in the MuSig.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_session_get_public_nonce(
+    const secp256k1_context* ctx,
+    secp256k1_musig_session *session,
+    secp256k1_musig_session_signer_data *signers,
+    secp256k1_pubkey *nonce,
+    const unsigned char *const *commitments,
+    size_t n_commitments
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
+
+/** Initializes a verifier session that can be used for verifying nonce commitments
+ *  and partial signatures. It does not have secret key material and therefore can not
+ *  be used to create signatures.
+ *
+ *  Returns: 1 when session is successfully initialized, 0 otherwise
+ *  Args:        ctx: pointer to a context object (cannot be NULL)
+ *  Out:     session: the session structure to initialize (cannot be NULL)
+ *           signers: an array of signers' data to be initialized. Array length must
+ *                    equal to `n_signers`(cannot be NULL)
+ *  In:        msg32: the 32-byte message to be signed If NULL, must be set with
+ *                    `musig_session_set_msg` before using the session for verifying
+ *                    partial signatures.
+ *       combined_pk: the combined public key of all signers (cannot be NULL)
+ *         pk_hash32: the 32-byte hash of the signers' individual keys (cannot be NULL)
+ *       commitments: array of 32-byte nonce commitments. Array length must equal to
+ *                    `n_signers` (cannot be NULL)
+ *         n_signers: length of signers and commitments array. Number of signers
+ *                    participating in the MuSig. Must be greater than 0 and at most
+ *                    2^32 - 1.
+ */
+SECP256K1_API int secp256k1_musig_session_initialize_verifier(
+    const secp256k1_context* ctx,
+    secp256k1_musig_session *session,
+    secp256k1_musig_session_signer_data *signers,
+    const unsigned char *msg32,
+    const secp256k1_pubkey *combined_pk,
+    const unsigned char *pk_hash32,
+    const unsigned char *const *commitments,
+    size_t n_signers
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6) SECP256K1_ARG_NONNULL(7);
+
+/** Checks a signer's public nonce against a commitment to said nonce, and update
+ *  data structure if they match
+ *
+ *  Returns: 1: commitment was valid, data structure updated
+ *           0: commitment was invalid, nothing happened
+ *  Args:      ctx: pointer to a context object (cannot be NULL)
+ *          signer: pointer to the signer data to update (cannot be NULL). Must have
+ *                  been used with `musig_session_get_public_nonce` or initialized
+ *                  with `musig_session_initialize_verifier`.
+ *  In:     nonce: signer's alleged public nonce (cannot be NULL)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_set_nonce(
+    const secp256k1_context* ctx,
+    secp256k1_musig_session_signer_data *signer,
+    const secp256k1_pubkey *nonce
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Serialize a signer's public nonce
+/** Updates a session with the combined public nonce of all signers. The combined
+ * public nonce is the sum of every signer's public nonce.
  *
- *  Returns: 1 when the nonce could be serialized, 0 otherwise
- *  Args:    ctx: a secp256k1 context object
- *  Out:   out66: pointer to a 66-byte array to store the serialized nonce
- *  In:    nonce: pointer to the nonce
+ *  Returns: 1: nonces are successfully combined
+ *           0: a signer's nonce is missing
+ *  Args:        ctx: pointer to a context object (cannot be NULL)
+ *           session: session to update with the combined public nonce (cannot be
+ *                    NULL)
+ *           signers: an array of signers' data, which must have had public nonces
+ *                    set with `musig_set_nonce`. Array length must equal to `n_signers`
+ *                    (cannot be NULL)
+ *         n_signers: the length of the signers array. Must be the total number of
+ *                    signers participating in the MuSig.
+ *  Out: nonce_is_negated: a pointer to an integer that indicates if the combined
+ *                    public nonce had to be negated.
+ *           adaptor: point to add to the combined public nonce. If NULL, nothing is
+ *                    added to the combined nonce.
  */
-SECP256K1_API int secp256k1_musig_pubnonce_serialize(
+SECP256K1_API int secp256k1_musig_session_combine_nonces(
     const secp256k1_context* ctx,
-    unsigned char *out66,
-    const secp256k1_musig_pubnonce* nonce
+    secp256k1_musig_session *session,
+    const secp256k1_musig_session_signer_data *signers,
+    size_t n_signers,
+    int *nonce_is_negated,
+    const secp256k1_pubkey *adaptor
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4);
+
+/** Sets the message of a session if previously unset
+ *
+ *  Returns 1 if the message was not set yet and is now successfully set
+ *          0 otherwise
+ *  Args:    ctx: pointer to a context object (cannot be NULL)
+ *       session: the session structure to update with the message (cannot be NULL)
+ *  In:    msg32: the 32-byte message to be signed (cannot be NULL)
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_session_set_msg(
+    const secp256k1_context* ctx,
+    secp256k1_musig_session *session,
+    const unsigned char *msg32
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Parse an aggregate public nonce.
- *
- *  Returns: 1 when the nonce could be parsed, 0 otherwise.
- *  Args:    ctx: a secp256k1 context object
- *  Out:   nonce: pointer to a nonce object
- *  In:     in66: pointer to the 66-byte nonce to be parsed
- */
-SECP256K1_API int secp256k1_musig_aggnonce_parse(
-    const secp256k1_context* ctx,
-    secp256k1_musig_aggnonce* nonce,
-    const unsigned char *in66
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Serialize an aggregate public nonce
- *
- *  Returns: 1 when the nonce could be serialized, 0 otherwise
- *  Args:    ctx: a secp256k1 context object
- *  Out:   out66: pointer to a 66-byte array to store the serialized nonce
- *  In:    nonce: pointer to the nonce
- */
-SECP256K1_API int secp256k1_musig_aggnonce_serialize(
-    const secp256k1_context* ctx,
-    unsigned char *out66,
-    const secp256k1_musig_aggnonce* nonce
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Serialize a MuSig partial signature
+/** Serialize a MuSig partial signature or adaptor signature
  *
  *  Returns: 1 when the signature could be serialized, 0 otherwise
  *  Args:    ctx: a secp256k1 context object
  *  Out:   out32: pointer to a 32-byte array to store the serialized signature
  *  In:      sig: pointer to the signature
  */
-SECP256K1_API int secp256k1_musig_partial_sig_serialize(
+SECP256K1_API int secp256k1_musig_partial_signature_serialize(
     const secp256k1_context* ctx,
     unsigned char *out32,
-    const secp256k1_musig_partial_sig* sig
+    const secp256k1_musig_partial_signature* sig
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Parse a MuSig partial signature.
+/** Parse and verify a MuSig partial signature.
  *
  *  Returns: 1 when the signature could be parsed, 0 otherwise.
  *  Args:    ctx: a secp256k1 context object
@@ -180,418 +309,114 @@ SECP256K1_API int secp256k1_musig_partial_sig_serialize(
  *  encoded numbers are out of range, signature verification with it is
  *  guaranteed to fail for every message and public key.
  */
-SECP256K1_API int secp256k1_musig_partial_sig_parse(
+SECP256K1_API int secp256k1_musig_partial_signature_parse(
     const secp256k1_context* ctx,
-    secp256k1_musig_partial_sig* sig,
+    secp256k1_musig_partial_signature* sig,
     const unsigned char *in32
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Computes an aggregate public key and uses it to initialize a keyagg_cache
- *
- *  Different orders of `pubkeys` result in different `agg_pk`s.
- *
- *  The pubkeys can be sorted before combining with `secp256k1_xonly_sort` which
- *  ensures the same `agg_pk` result for the same multiset of pubkeys.
- *  This is useful to do before `pubkey_agg`, such that the order of pubkeys
- *  does not affect the aggregate public key.
- *
- *  Returns: 0 if the arguments are invalid, 1 otherwise
- *  Args:        ctx: pointer to a context object initialized for verification
- *           scratch: should be NULL because it is not yet implemented. If it
- *                    was implemented then the scratch space would be used to
- *                    compute the aggregate pubkey by multiexponentiation.
- *                    Generally, the larger the scratch space, the faster this
- *                    function. However, the returns of providing a larger
- *                    scratch space are diminishing. If NULL, an inefficient
- *                    algorithm is used.
- *  Out:      agg_pk: the MuSig-aggregated x-only public key. If you do not need it,
- *                    this arg can be NULL.
- *      keyagg_cache: if non-NULL, pointer to a musig_keyagg_cache struct that
- *                    is required for signing (or observing the signing session
- *                    and verifying partial signatures).
- *   In:     pubkeys: input array of pointers to public keys to aggregate. The order
- *                    is important; a different order will result in a different
- *                    aggregate public key.
- *         n_pubkeys: length of pubkeys array. Must be greater than 0.
- */
-SECP256K1_API int secp256k1_musig_pubkey_agg(
-    const secp256k1_context* ctx,
-    secp256k1_scratch_space *scratch,
-    secp256k1_xonly_pubkey *agg_pk,
-    secp256k1_musig_keyagg_cache *keyagg_cache,
-    const secp256k1_xonly_pubkey * const* pubkeys,
-    size_t n_pubkeys
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(5);
-
-/** Obtain the aggregate public key from a keyagg_cache.
- *
- *  This is only useful if you need the non-xonly public key, in particular for
- *  ordinary (non-xonly) tweaking or batch-verifying multiple key aggregations
- *  (not implemented).
- *
- *  Returns: 0 if the arguments are invalid, 1 otherwise
- *  Args:        ctx: pointer to a context object
- *  Out:      agg_pk: the MuSig-aggregated public key.
- *  In: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by
- *                    `musig_pubkey_agg`
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_get(
-    const secp256k1_context* ctx,
-    secp256k1_pubkey *agg_pk,
-    secp256k1_musig_keyagg_cache *keyagg_cache
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Apply ordinary "EC" tweaking to a public key in a given keyagg_cache by
- *  adding the generator multiplied with `tweak32` to it. This is useful for
- *  deriving child keys from an aggregate public key via BIP32.
- *
- *  The tweaking method is the same as `secp256k1_ec_pubkey_tweak_add`. So after
- *  the following pseudocode buf and buf2 have identical contents (absent
- *  earlier failures).
- *
- *  secp256k1_musig_pubkey_agg(..., keyagg_cache, pubkeys, ...)
- *  secp256k1_musig_pubkey_get(..., agg_pk, keyagg_cache)
- *  secp256k1_musig_pubkey_ec_tweak_add(..., output_pk, tweak32, keyagg_cache)
- *  secp256k1_ec_pubkey_serialize(..., buf, output_pk)
- *  secp256k1_ec_pubkey_tweak_add(..., agg_pk, tweak32)
- *  secp256k1_ec_pubkey_serialize(..., buf2, agg_pk)
- *
- *  This function is required if you want to _sign_ for a tweaked aggregate key.
- *  On the other hand, if you are only computing a public key, but not intending
- *  to create a signature for it, you can just use
- *  `secp256k1_ec_pubkey_tweak_add`.
- *
- *  Returns: 0 if the arguments are invalid or the resulting public key would be
- *           invalid (only when the tweak is the negation of the corresponding
- *           secret key). 1 otherwise.
- *  Args:            ctx: pointer to a context object initialized for verification
- *  Out:   output_pubkey: pointer to a public key to store the result. Will be set
- *                        to an invalid value if this function returns 0. If you
- *                        do not need it, this arg can be NULL.
- *  In/Out: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by
- *                       `musig_pubkey_agg`
- *  In:          tweak32: pointer to a 32-byte tweak. If the tweak is invalid
- *                        according to `secp256k1_ec_seckey_verify`, this function
- *                        returns 0. For uniformly random 32-byte arrays the
- *                        chance of being invalid is negligible (around 1 in
- *                        2^128).
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_ec_tweak_add(
-    const secp256k1_context* ctx,
-    secp256k1_pubkey *output_pubkey,
-    secp256k1_musig_keyagg_cache *keyagg_cache,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-/** Apply x-only tweaking to a public key in a given keyagg_cache by adding the
- *  generator multiplied with `tweak32` to it. This is useful for creating
- *  Taproot outputs.
- *
- *  The tweaking method is the same as `secp256k1_xonly_pubkey_tweak_add`. So in
- *  the following pseudocode xonly_pubkey_tweak_add_check (absent earlier
- *  failures) returns 1.
- *
- *  secp256k1_musig_pubkey_agg(..., agg_pk, keyagg_cache, pubkeys, ...)
- *  secp256k1_musig_pubkey_xonly_tweak_add(..., output_pk, tweak32, keyagg_cache)
- *  secp256k1_xonly_pubkey_serialize(..., buf, output_pk)
- *  secp256k1_xonly_pubkey_tweak_add_check(..., buf, ..., agg_pk, tweak32)
- *
- *  This function is required if you want to _sign_ for a tweaked aggregate key.
- *  On the other hand, if you are only computing a public key, but not intending
- *  to create a signature for it, you can just use
- *  `secp256k1_xonly_pubkey_tweak_add`.
- *
- *  Returns: 0 if the arguments are invalid or the resulting public key would be
- *           invalid (only when the tweak is the negation of the corresponding
- *           secret key). 1 otherwise.
- *  Args:            ctx: pointer to a context object initialized for verification
- *  Out:   output_pubkey: pointer to a public key to store the result. Will be set
- *                        to an invalid value if this function returns 0. If you
- *                        do not need it, this arg can be NULL.
- *  In/Out: keyagg_cache: pointer to a `musig_keyagg_cache` struct initialized by
- *                       `musig_pubkey_agg`
- *  In:          tweak32: pointer to a 32-byte tweak. If the tweak is invalid
- *                        according to secp256k1_ec_seckey_verify, this function
- *                        returns 0. For uniformly random 32-byte arrays the
- *                        chance of being invalid is negligible (around 1 in
- *                        2^128).
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_pubkey_xonly_tweak_add(
-    const secp256k1_context* ctx,
-    secp256k1_pubkey *output_pubkey,
-    secp256k1_musig_keyagg_cache *keyagg_cache,
-    const unsigned char *tweak32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-/** Starts a signing session by generating a nonce
- *
- *  This function outputs a secret nonce that will be required for signing and a
- *  corresponding public nonce that is intended to be sent to other signers.
- *
- *  MuSig differs from regular Schnorr signing in that implementers _must_ take
- *  special care to not reuse a nonce. This can be ensured by following these rules:
- *
- *  1. Each call to this function must have a UNIQUE session_id32 that must NOT BE
- *     REUSED in subsequent calls to this function.
- *     If you do not provide a seckey, session_id32 _must_ be UNIFORMLY RANDOM
- *     AND KEPT SECRET (even from other signers). If you do provide a seckey,
- *     session_id32 can instead be a counter (that must never repeat!). However,
- *     it is recommended to always choose session_id32 uniformly at random.
- *  2. If you already know the seckey, message or aggregate public key
- *     cache, they can be optionally provided to derive the nonce and increase
- *     misuse-resistance. The extra_input32 argument can be used to provide
- *     additional data that does not repeat in normal scenarios, such as the
- *     current time.
- *  3. Avoid copying (or serializing) the secnonce. This reduces the possibility
- *     that it is used more than once for signing.
- *
- *  Remember that nonce reuse will leak the secret key!
- *  Note that using the same seckey for multiple MuSig sessions is fine.
- *
- *  Returns: 0 if the arguments are invalid and 1 otherwise
- *  Args:         ctx: pointer to a context object, initialized for signing
- *  Out:     secnonce: pointer to a structure to store the secret nonce
- *           pubnonce: pointer to a structure to store the public nonce
- *  In:  session_id32: a 32-byte session_id32 as explained above. Must be unique to this
- *                     call to secp256k1_musig_nonce_gen and must be uniformly random
- *                     unless you really know what you are doing.
- *             seckey: the 32-byte secret key that will later be used for signing, if
- *                     already known (can be NULL)
- *              msg32: the 32-byte message that will later be signed, if already known
- *                     (can be NULL)
- *       keyagg_cache: pointer to the keyagg_cache that was used to create the aggregate
- *                     (and potentially tweaked) public key if already known
- *                     (can be NULL)
- *      extra_input32: an optional 32-byte array that is input to the nonce
- *                     derivation function (can be NULL)
- */
-SECP256K1_API int secp256k1_musig_nonce_gen(
-    const secp256k1_context* ctx,
-    secp256k1_musig_secnonce *secnonce,
-    secp256k1_musig_pubnonce *pubnonce,
-    const unsigned char *session_id32,
-    const unsigned char *seckey,
-    const unsigned char *msg32,
-    const secp256k1_musig_keyagg_cache *keyagg_cache,
-    const unsigned char *extra_input32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-/** Aggregates the nonces of all signers into a single nonce
- *
- *  This can be done by an untrusted party to reduce the communication
- *  between signers. Instead of everyone sending nonces to everyone else, there
- *  can be one party receiving all nonces, aggregating the nonces with this
- *  function and then sending only the aggregate nonce back to the signers.
- *
- *  Returns: 0 if the arguments are invalid, 1 otherwise
- *  Args:           ctx: pointer to a context object
- *  Out:       aggnonce: pointer to an aggregate public nonce object for
- *                       musig_nonce_process
- *  In:       pubnonces: array of pointers to public nonces sent by the
- *                       signers
- *          n_pubnonces: number of elements in the pubnonces array. Must be
- *                       greater than 0.
- */
-SECP256K1_API int secp256k1_musig_nonce_agg(
-    const secp256k1_context* ctx,
-    secp256k1_musig_aggnonce  *aggnonce,
-    const secp256k1_musig_pubnonce * const* pubnonces,
-    size_t n_pubnonces
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Takes the public nonces of all signers and computes a session that is
- *  required for signing and verification of partial signatures.
- *
- *  If the adaptor argument is non-NULL, then the output of
- *  musig_partial_sig_agg will be a pre-signature which is not a valid Schnorr
- *  signature. In order to create a valid signature, the pre-signature and the
- *  secret adaptor must be provided to `musig_adapt`.
- *
- *  Returns: 0 if the arguments are invalid or if some signer sent invalid
- *           pubnonces, 1 otherwise
- *  Args:          ctx: pointer to a context object, initialized for verification
- *  Out:       session: pointer to a struct to store the session
- *  In:       aggnonce: pointer to an aggregate public nonce object that is the
- *                      output of musig_nonce_agg
- *              msg32:  the 32-byte message to sign
- *       keyagg_cache:  pointer to the keyagg_cache that was used to create the
- *                      aggregate (and potentially tweaked) pubkey
- *            adaptor:  optional pointer to an adaptor point encoded as a public
- *                      key if this signing session is part of an adaptor
- *                      signature protocol (can be NULL)
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_nonce_process(
-    const secp256k1_context* ctx,
-    secp256k1_musig_session *session,
-    const secp256k1_musig_aggnonce  *aggnonce,
-    const unsigned char *msg32,
-    const secp256k1_musig_keyagg_cache *keyagg_cache,
-    const secp256k1_pubkey *adaptor
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
-
 /** Produces a partial signature
  *
- *  This function overwrites the given secnonce with zeros and will abort if given a
- *  secnonce that is all zeros. This is a best effort attempt to protect against nonce
- *  reuse. However, this is of course easily defeated if the secnonce has been
- *  copied (or serialized). Remember that nonce reuse will leak the secret key!
- *
- *  Returns: 0 if the arguments are invalid or the provided secnonce has already
- *           been used for signing, 1 otherwise
- *  Args:         ctx: pointer to a context object
- *  Out:  partial_sig: pointer to struct to store the partial signature
- *  In/Out:  secnonce: pointer to the secnonce struct created in
- *                     musig_nonce_gen that has been never used in a
- *                     partial_sign call before
- *  In:       keypair: pointer to keypair to sign the message with
- *       keyagg_cache: pointer to the keyagg_cache that was output when the
- *                     aggregate public key for this session
- *            session: pointer to the session that was created with
- *                     musig_nonce_process
+ *  Returns: 1: partial signature constructed
+ *           0: session in incorrect or inconsistent state
+ *  Args:         ctx: pointer to a context object (cannot be NULL)
+ *            session: active signing session for which the combined nonce has been
+ *                     computed (cannot be NULL)
+ *  Out:  partial_sig: partial signature (cannot be NULL)
  */
 SECP256K1_API int secp256k1_musig_partial_sign(
     const secp256k1_context* ctx,
-    secp256k1_musig_partial_sig *partial_sig,
-    secp256k1_musig_secnonce *secnonce,
-    const secp256k1_keypair *keypair,
-    const secp256k1_musig_keyagg_cache *keyagg_cache,
-    const secp256k1_musig_session *session
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6);
+    const secp256k1_musig_session *session,
+    secp256k1_musig_partial_signature *partial_sig
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
-/** Verifies an individual signer's partial signature
- *
- *  The signature is verified for a specific signing session. In order to avoid
- *  accidentally verifying a signature from a different or non-existing signing
- *  session, you must ensure the following:
- *    1. The `keyagg_cache` argument is identical to the one used to create the
- *       `session` with `musig_nonce_process`.
- *    2. The `pubkey` argument must be identical to the one sent by the signer
- *       before aggregating it with `musig_pubkey_agg` to create the
- *       `keyagg_cache`.
- *    3. The `pubnonce` argument must be identical to the one sent by the signer
- *       before aggregating it with `musig_nonce_agg` and using the result to
- *       create the `session` with `musig_nonce_process`.
+/** Checks that an individual partial signature verifies
  *
  *  This function is essential when using protocols with adaptor signatures.
- *  However, it is not essential for regular MuSig sessions, in the sense that if any
- *  partial signature does not verify, the full signature will not verify either, so the
+ *  However, it is not essential for regular MuSig's, in the sense that if any
+ *  partial signatures does not verify, the full signature will also not verify, so the
  *  problem will be caught. But this function allows determining the specific party
- *  who produced an invalid signature.
+ *  who produced an invalid signature, so that signing can be restarted without them.
  *
- *  Returns: 0 if the arguments are invalid or the partial signature does not
- *           verify, 1 otherwise
- *  Args         ctx: pointer to a context object, initialized for verification
- *  In:  partial_sig: pointer to partial signature to verify, sent by
- *                    the signer associated with `pubnonce` and `pubkey`
- *          pubnonce: public nonce of the signer in the signing session
- *            pubkey: public key of the signer in the signing session
- *      keyagg_cache: pointer to the keyagg_cache that was output when the
- *                    aggregate public key for this signing session
- *           session: pointer to the session that was created with
- *                    `musig_nonce_process`
+ *  Returns: 1: partial signature verifies
+ *           0: invalid signature or bad data
+ *  Args:         ctx: pointer to a context object (cannot be NULL)
+ *            session: active session for which the combined nonce has been computed
+ *                     (cannot be NULL)
+ *             signer: data for the signer who produced this signature (cannot be NULL)
+ *  In:   partial_sig: signature to verify (cannot be NULL)
+ *             pubkey: public key of the signer who produced the signature (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_verify(
     const secp256k1_context* ctx,
-    const secp256k1_musig_partial_sig *partial_sig,
-    const secp256k1_musig_pubnonce *pubnonce,
-    const secp256k1_xonly_pubkey *pubkey,
-    const secp256k1_musig_keyagg_cache *keyagg_cache,
-    const secp256k1_musig_session *session
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(6);
-
-/** Aggregates partial signatures
- *
- *  Returns: 0 if the arguments are invalid, 1 otherwise (which does NOT mean
- *           the resulting signature verifies).
- *  Args:         ctx: pointer to a context object
- *  Out:        sig64: complete (but possibly invalid) Schnorr signature
- *  In:       session: pointer to the session that was created with
- *                     musig_nonce_process
- *       partial_sigs: array of pointers to partial signatures to aggregate
- *             n_sigs: number of elements in the partial_sigs array. Must be
- *                     greater than 0.
- */
-SECP256K1_API int secp256k1_musig_partial_sig_agg(
-    const secp256k1_context* ctx,
-    unsigned char *sig64,
     const secp256k1_musig_session *session,
-    const secp256k1_musig_partial_sig * const* partial_sigs,
+    const secp256k1_musig_session_signer_data *signer,
+    const secp256k1_musig_partial_signature *partial_sig,
+    const secp256k1_pubkey *pubkey
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
+
+/** Combines partial signatures
+ *
+ *  Returns: 1: all partial signatures have values in range. Does NOT mean the
+ *              resulting signature verifies.
+ *           0: some partial signature had s/r out of range
+ *  Args:         ctx: pointer to a context object (cannot be NULL)
+ *            session: initialized session for which the combined nonce has been
+ *                     computed (cannot be NULL)
+ *  Out:          sig: complete signature (cannot be NULL)
+ *  In:  partial_sigs: array of partial signatures to combine (cannot be NULL)
+ *             n_sigs: number of signatures in the partial_sigs array
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_partial_sig_combine(
+    const secp256k1_context* ctx,
+    const secp256k1_musig_session *session,
+    secp256k1_schnorrsig *sig,
+    const secp256k1_musig_partial_signature *partial_sigs,
     size_t n_sigs
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
-/** Extracts the nonce_parity bit from a session
+/** Converts a partial signature to an adaptor signature by adding a given secret
+ *  adaptor.
  *
- *  This is used for adaptor signatures.
- *
- *  Returns: 0 if the arguments are invalid, 1 otherwise
- *  Args:         ctx: pointer to a context object
- *  Out: nonce_parity: pointer to an integer that indicates the parity
- *                     of the aggregate public nonce. Used for adaptor
- *                     signatures.
- *  In:       session: pointer to the session that was created with
- *                     musig_nonce_process
+ *  Returns: 1: signature and secret adaptor contained valid values
+ *           0: otherwise
+ *  Args:         ctx: pointer to a context object (cannot be NULL)
+ *  Out:  adaptor_sig: adaptor signature to produce (cannot be NULL)
+ *  In:   partial_sig: partial signature to tweak with secret adaptor (cannot be NULL)
+ *      sec_adaptor32: 32-byte secret adaptor to add to the partial signature (cannot
+ *                     be NULL)
+ *   nonce_is_negated: the `nonce_is_negated` output of `musig_session_combine_nonces`
  */
-SECP256K1_API int secp256k1_musig_nonce_parity(
+SECP256K1_API int secp256k1_musig_partial_sig_adapt(
     const secp256k1_context* ctx,
-    int *nonce_parity,
-    const secp256k1_musig_session *session
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-
-/** Creates a signature from a pre-signature and an adaptor.
- *
- *  If the sec_adaptor32 argument is incorrect, the output signature will be
- *  invalid. This function does not verify the signature.
- *
- *  Returns: 0 if the arguments are invalid, or pre_sig64 or sec_adaptor32 contain
- *           invalid (overflowing) values. 1 otherwise (which does NOT mean the
- *           signature or the adaptor are valid!)
- *  Args:         ctx: pointer to a context object
- *  Out:        sig64: 64-byte signature. This pointer may point to the same
- *                     memory area as `pre_sig`.
- *  In:     pre_sig64: 64-byte pre-signature
- *      sec_adaptor32: 32-byte secret adaptor to add to the pre-signature
- *       nonce_parity: the output of `musig_nonce_parity` called with the
- *                     session used for producing the pre-signature
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_adapt(
-    const secp256k1_context* ctx,
-    unsigned char *sig64,
-    const unsigned char *pre_sig64,
+    secp256k1_musig_partial_signature *adaptor_sig,
+    const secp256k1_musig_partial_signature *partial_sig,
     const unsigned char *sec_adaptor32,
-    int nonce_parity
+    int nonce_is_negated
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
-/** Extracts a secret adaptor from a MuSig pre-signature and corresponding
- *  signature
+/** Extracts a secret adaptor from a MuSig, given all parties' partial
+ *  signatures. This function will not fail unless given grossly invalid data; if it
+ *  is merely given signatures that do not verify, the returned value will be
+ *  nonsense. It is therefore important that all data be verified at earlier steps of
+ *  any protocol that uses this function.
  *
- *  This function will not fail unless given grossly invalid data; if it is
- *  merely given signatures that do not verify, the returned value will be
- *  nonsense. It is therefore important that all data be verified at earlier
- *  steps of any protocol that uses this function. In particular, this includes
- *  verifying all partial signatures that were aggregated into pre_sig64.
- *
- *  Returns: 0 if the arguments are NULL, or sig64 or pre_sig64 contain
- *           grossly invalid (overflowing) values. 1 otherwise (which does NOT
- *           mean the signatures or the adaptor are valid!)
- *  Args:         ctx: pointer to a context object
- *  Out:sec_adaptor32: 32-byte secret adaptor
- *  In:         sig64: complete, valid 64-byte signature
- *          pre_sig64: the pre-signature corresponding to sig64, i.e., the
- *                     aggregate of partial signatures without the secret
- *                     adaptor
- *       nonce_parity: the output of `musig_nonce_parity` called with the
- *                     session used for producing sig64
+ *  Returns: 1: signatures contained valid data such that an adaptor could be extracted
+ *           0: otherwise
+ *  Args:         ctx: pointer to a context object (cannot be NULL)
+ *  Out:sec_adaptor32: 32-byte secret adaptor (cannot be NULL)
+ *  In:           sig: complete 2-of-2 signature (cannot be NULL)
+ *       partial_sigs: array of partial signatures (cannot be NULL)
+ *     n_partial_sigs: number of elements in partial_sigs array
+ *   nonce_is_negated: the `nonce_is_negated` output of `musig_session_combine_nonces`
  */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_extract_adaptor(
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_musig_extract_secret_adaptor(
     const secp256k1_context* ctx,
     unsigned char *sec_adaptor32,
-    const unsigned char *sig64,
-    const unsigned char *pre_sig64,
-    int nonce_parity
+    const secp256k1_schnorrsig *sig,
+    const secp256k1_musig_partial_signature *partial_sigs,
+    size_t n_partial_sigs,
+    int nonce_is_negated
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
-#ifdef __cplusplus
-}
-#endif
-
 #endif

include/secp256k1_preallocated.h

@@ -14,12 +14,12 @@ extern "C" {
  *
  * Context objects created by functions in this module can be used like contexts
  * objects created by functions in secp256k1.h, i.e., they can be passed to any
- * API function that expects a context object (see secp256k1.h for details). The
+ * API function that excepts a context object (see secp256k1.h for details). The
  * only exception is that context objects created by functions in this module
  * must be destroyed using secp256k1_context_preallocated_destroy (in this
  * module) instead of secp256k1_context_destroy (in secp256k1.h).
  *
- * It is guaranteed that functions in this module will not call malloc or its
+ * It is guaranteed that functions in by this module will not call malloc or its
  * friends realloc, calloc, and free.
  */
 
@@ -55,7 +55,7 @@ SECP256K1_API size_t secp256k1_context_preallocated_size(
  *  Returns: a newly created context object.
  *  In:      prealloc: a pointer to a rewritable contiguous block of memory of
  *                     size at least secp256k1_context_preallocated_size(flags)
- *                     bytes, as detailed above.
+ *                     bytes, as detailed above (cannot be NULL)
  *           flags:    which parts of the context to initialize.
  *
  *  See also secp256k1_context_randomize (in secp256k1.h)
@@ -70,7 +70,7 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_create(
  *  caller-provided memory.
  *
  *  Returns: the required size of the caller-provided memory block.
- *  In:      ctx: an existing context to copy.
+ *  In:      ctx: an existing context to copy (cannot be NULL)
  */
 SECP256K1_API size_t secp256k1_context_preallocated_clone_size(
     const secp256k1_context* ctx
@@ -87,10 +87,10 @@ SECP256K1_API size_t secp256k1_context_preallocated_clone_size(
  *  secp256k1_context_preallocated_create for details.
  *
  *  Returns: a newly created context object.
- *  Args:    ctx:      an existing context to copy.
+ *  Args:    ctx:      an existing context to copy (cannot be NULL)
  *  In:      prealloc: a pointer to a rewritable contiguous block of memory of
  *                     size at least secp256k1_context_preallocated_size(flags)
- *                     bytes, as detailed above.
+ *                     bytes, as detailed above (cannot be NULL)
  */
 SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone(
     const secp256k1_context* ctx,
@@ -115,11 +115,11 @@ SECP256K1_API secp256k1_context* secp256k1_context_preallocated_clone(
  *
  *  Args:   ctx: an existing context to destroy, constructed using
  *               secp256k1_context_preallocated_create or
- *               secp256k1_context_preallocated_clone.
+ *               secp256k1_context_preallocated_clone (cannot be NULL)
  */
 SECP256K1_API void secp256k1_context_preallocated_destroy(
     secp256k1_context* ctx
-) SECP256K1_ARG_NONNULL(1);
+);
 
 #ifdef __cplusplus
 }

include/secp256k1_rangeproof.h

@@ -10,15 +10,6 @@ extern "C" {
 
 #include <stdint.h>
 
-/** Length of a message that can be embedded into a maximally-sized rangeproof
- *
- * It is not be possible to fit a message of this size into a non-maximally-sized
- * rangeproof, but it is guaranteed that any embeddable message can fit into an
- * array of this size. This constant is intended to be used for memory allocations
- * and sanity checks.
- */
-#define SECP256K1_RANGEPROOF_MAX_MESSAGE_LEN 3968
-
 /** Opaque data structure that stores a Pedersen commitment
  *
  *  The exact representation of data inside is implementation defined and not
@@ -64,6 +55,9 @@ SECP256K1_API int secp256k1_pedersen_commitment_serialize(
     const secp256k1_pedersen_commitment* commit
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
+/** Initialize a context for usage with Pedersen commitments. */
+void secp256k1_pedersen_context_initialize(secp256k1_context* ctx);
+
 /** Generate a pedersen commitment.
  *  Returns 1: Commitment successfully created.
  *          0: Error. The blinding factor is larger than the group order
@@ -167,6 +161,9 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_pedersen_blind_generato
   size_t n_inputs
 );
 
+/** Initialize a context for usage with Pedersen commitments. */
+void secp256k1_rangeproof_context_initialize(secp256k1_context* ctx);
+
 /** Verify a proof that a committed value is within a range.
  * Returns 1: Value is within the range [0..2^64), the specifically proven range is in the min/max value outputs.
  *         0: Proof failed or other error.
@@ -206,9 +203,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_verify(
  *  In/Out: blind_out: storage for the 32-byte blinding factor used for the commitment
  *        value_out: pointer to an unsigned int64 which has the exact value of the commitment.
  *        message_out: pointer to a 4096 byte character array to receive message data from the proof author.
- *        outlen: length of message data written to message_out. This is generally not equal to the
- *                msg_len used by the signer. However, for all i with msg_len <= i < outlen, it is
- *                guaranteed that message_out[i] == 0.
+ *        outlen:  length of message data written to message_out.
  *        min_value: pointer to an unsigned int64 which will be updated with the minimum value that commit could have. (cannot be NULL)
  *        max_value: pointer to an unsigned int64 which will be updated with the maximum value that commit could have. (cannot be NULL)
  */
@@ -236,8 +231,7 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_rewind(
  *          proof:  pointer to array to receive the proof, can be up to 5134 bytes. (cannot be NULL)
  *          min_value: constructs a proof where the verifer can tell the minimum value is at least the specified amount.
  *          commit: the commitment being proved.
- *          blind:  32-byte blinding factor used by commit. The blinding factor may be all-zeros as long as min_bits is set to 3 or greater.
- *                  This is a side-effect of the underlying crypto, not a deliberate API choice, but it may be useful when balancing CT transactions.
+ *          blind:  32-byte blinding factor used by commit.
  *          nonce:  32-byte secret nonce used to initialize the proof (value can be reverse-engineered out of the proof if this secret is known.)
  *          exp:    Base-10 exponent. Digits below above will be made public, but the proof will be made smaller. Allowed range is -1 to 18.
  *                  (-1 is a special case that makes the value public. 0 is the most private.)
@@ -296,33 +290,6 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_rangeproof_info(
   size_t plen
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
 
-/** Returns an upper bound on the size of a rangeproof with the given parameters
- *
- * An actual rangeproof may be smaller, for example if the actual value
- * is less than both the provided `max_value` and 2^`min_bits`, or if
- * the `exp` parameter to `secp256k1_rangeproof_sign` is set such that
- * the proven range is compressed. In particular this function will always
- * overestimate the size of single-value proofs. Also, if `min_value`
- * is set to 0 in the proof, the result will usually, but not always,
- * be 8 bytes smaller than if a nonzero value had been passed.
- *
- * The goal of this function is to provide a useful upper bound for
- * memory allocation or fee estimation purposes, without requiring
- * too many parameters be fixed in advance.
- *
- * To obtain the size of largest possible proof, set `max_value` to
- * `UINT64_MAX` (and `min_bits` to any valid value such as 0).
- *
- *  In:       ctx: pointer to a context object
- *      max_value: the maximum value that might be passed for `value` for the proof.
- *       min_bits: the value that will be passed as `min_bits` for the proof.
- */
-SECP256K1_API SECP256K1_WARN_UNUSED_RESULT size_t secp256k1_rangeproof_max_size(
-  const secp256k1_context* ctx,
-  uint64_t max_value,
-  int min_bits
-) SECP256K1_ARG_NONNULL(1);
-
 # ifdef __cplusplus
 }
 # endif

include/secp256k1_recovery.h

@@ -43,9 +43,8 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_parse_compact(
 /** Convert a recoverable signature into a normal signature.
  *
  *  Returns: 1
- *  Args: ctx:    a secp256k1 context object.
- *  Out:  sig:    a pointer to a normal signature.
- *  In:   sigin:  a pointer to a recoverable signature.
+ *  Out: sig:    a pointer to a normal signature (cannot be NULL).
+ *  In:  sigin:  a pointer to a recoverable signature (cannot be NULL).
  */
 SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert(
     const secp256k1_context* ctx,
@@ -56,10 +55,10 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_convert(
 /** Serialize an ECDSA signature in compact format (64 bytes + recovery id).
  *
  *  Returns: 1
- *  Args: ctx:      a secp256k1 context object.
- *  Out:  output64: a pointer to a 64-byte array of the compact signature.
- *        recid:    a pointer to an integer to hold the recovery id.
- *  In:   sig:      a pointer to an initialized signature object.
+ *  Args: ctx:      a secp256k1 context object
+ *  Out:  output64: a pointer to a 64-byte array of the compact signature (cannot be NULL)
+ *        recid:    a pointer to an integer to hold the recovery id (can be NULL).
+ *  In:   sig:      a pointer to an initialized signature object (cannot be NULL)
  */
 SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
     const secp256k1_context* ctx,
@@ -71,20 +70,18 @@ SECP256K1_API int secp256k1_ecdsa_recoverable_signature_serialize_compact(
 /** Create a recoverable ECDSA signature.
  *
  *  Returns: 1: signature created
- *           0: the nonce generation function failed, or the secret key was invalid.
- *  Args:    ctx:       pointer to a context object, initialized for signing.
- *  Out:     sig:       pointer to an array where the signature will be placed.
- *  In:      msghash32: the 32-byte message hash being signed.
- *           seckey:    pointer to a 32-byte secret key.
- *           noncefp:   pointer to a nonce generation function. If NULL,
- *                      secp256k1_nonce_function_default is used.
- *           ndata:     pointer to arbitrary data used by the nonce generation function
- *                      (can be NULL for secp256k1_nonce_function_default).
+ *           0: the nonce generation function failed, or the private key was invalid.
+ *  Args:    ctx:    pointer to a context object, initialized for signing (cannot be NULL)
+ *  Out:     sig:    pointer to an array where the signature will be placed (cannot be NULL)
+ *  In:      msg32:  the 32-byte message hash being signed (cannot be NULL)
+ *           seckey: pointer to a 32-byte secret key (cannot be NULL)
+ *           noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used
+ *           ndata:  pointer to arbitrary data used by the nonce generation function (can be NULL)
  */
 SECP256K1_API int secp256k1_ecdsa_sign_recoverable(
     const secp256k1_context* ctx,
     secp256k1_ecdsa_recoverable_signature *sig,
-    const unsigned char *msghash32,
+    const unsigned char *msg32,
     const unsigned char *seckey,
     secp256k1_nonce_function noncefp,
     const void *ndata
@@ -94,16 +91,16 @@ SECP256K1_API int secp256k1_ecdsa_sign_recoverable(
  *
  *  Returns: 1: public key successfully recovered (which guarantees a correct signature).
  *           0: otherwise.
- *  Args:    ctx:       pointer to a context object, initialized for verification.
- *  Out:     pubkey:    pointer to the recovered public key.
- *  In:      sig:       pointer to initialized signature that supports pubkey recovery.
- *           msghash32: the 32-byte message hash assumed to be signed.
+ *  Args:    ctx:        pointer to a context object, initialized for verification (cannot be NULL)
+ *  Out:     pubkey:     pointer to the recovered public key (cannot be NULL)
+ *  In:      sig:        pointer to initialized signature that supports pubkey recovery (cannot be NULL)
+ *           msg32:      the 32-byte message hash assumed to be signed (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_ecdsa_recover(
     const secp256k1_context* ctx,
     secp256k1_pubkey *pubkey,
     const secp256k1_ecdsa_recoverable_signature *sig,
-    const unsigned char *msghash32
+    const unsigned char *msg32
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
 #ifdef __cplusplus

include/secp256k1_schnorrsig.h

@@ -1,182 +1,118 @@
 #ifndef SECP256K1_SCHNORRSIG_H
 #define SECP256K1_SCHNORRSIG_H
 
-#include "secp256k1.h"
-#include "secp256k1_extrakeys.h"
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
 /** This module implements a variant of Schnorr signatures compliant with
- *  Bitcoin Improvement Proposal 340 "Schnorr Signatures for secp256k1"
- *  (https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki).
+ * BIP-schnorr
+ * (https://github.com/sipa/bips/blob/bip-schnorr/bip-schnorr.mediawiki).
  */
 
-/** A pointer to a function to deterministically generate a nonce.
+/** Opaque data structure that holds a parsed Schnorr signature.
  *
- *  Same as secp256k1_nonce function with the exception of accepting an
- *  additional pubkey argument and not requiring an attempt argument. The pubkey
- *  argument can protect signature schemes with key-prefixed challenge hash
- *  inputs against reusing the nonce when signing with the wrong precomputed
- *  pubkey.
- *
- *  Returns: 1 if a nonce was successfully generated. 0 will cause signing to
- *           return an error.
- *  Out:  nonce32: pointer to a 32-byte array to be filled by the function
- *  In:       msg: the message being verified. Is NULL if and only if msglen
- *                 is 0.
- *         msglen: the length of the message
- *          key32: pointer to a 32-byte secret key (will not be NULL)
- *     xonly_pk32: the 32-byte serialized xonly pubkey corresponding to key32
- *                 (will not be NULL)
- *           algo: pointer to an array describing the signature
- *                 algorithm (will not be NULL)
- *        algolen: the length of the algo array
- *           data: arbitrary data pointer that is passed through
- *
- *  Except for test cases, this function should compute some cryptographic hash of
- *  the message, the key, the pubkey, the algorithm description, and data.
- */
-typedef int (*secp256k1_nonce_function_hardened)(
-    unsigned char *nonce32,
-    const unsigned char *msg,
-    size_t msglen,
-    const unsigned char *key32,
-    const unsigned char *xonly_pk32,
-    const unsigned char *algo,
-    size_t algolen,
-    void *data
-);
-
-/** An implementation of the nonce generation function as defined in Bitcoin
- *  Improvement Proposal 340 "Schnorr Signatures for secp256k1"
- *  (https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki).
- *
- *  If a data pointer is passed, it is assumed to be a pointer to 32 bytes of
- *  auxiliary random data as defined in BIP-340. If the data pointer is NULL,
- *  the nonce derivation procedure follows BIP-340 by setting the auxiliary
- *  random data to zero. The algo argument must be non-NULL, otherwise the
- *  function will fail and return 0. The hash will be tagged with algo.
- *  Therefore, to create BIP-340 compliant signatures, algo must be set to
- *  "BIP0340/nonce" and algolen to 13.
- */
-SECP256K1_API extern const secp256k1_nonce_function_hardened secp256k1_nonce_function_bip340;
-
-/** Data structure that contains additional arguments for schnorrsig_sign_custom.
- *
- *  A schnorrsig_extraparams structure object can be initialized correctly by
- *  setting it to SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT.
- *
- *  Members:
- *      magic: set to SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC at initialization
- *             and has no other function than making sure the object is
- *             initialized.
- *    noncefp: pointer to a nonce generation function. If NULL,
- *             secp256k1_nonce_function_bip340 is used
- *      ndata: pointer to arbitrary data used by the nonce generation function
- *             (can be NULL). If it is non-NULL and
- *             secp256k1_nonce_function_bip340 is used, then ndata must be a
- *             pointer to 32-byte auxiliary randomness as per BIP-340.
+ *  The exact representation of data inside is implementation defined and not
+ *  guaranteed to be portable between different platforms or versions. It is
+ *  however guaranteed to be 64 bytes in size, and can be safely copied/moved.
+ *  If you need to convert to a format suitable for storage, transmission, or
+ *  comparison, use the `secp256k1_schnorrsig_serialize` and
+ *  `secp256k1_schnorrsig_parse` functions.
  */
 typedef struct {
-    unsigned char magic[4];
-    secp256k1_nonce_function_hardened noncefp;
-    void* ndata;
-} secp256k1_schnorrsig_extraparams;
+    unsigned char data[64];
+} secp256k1_schnorrsig;
 
-#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC { 0xda, 0x6f, 0xb3, 0x8c }
-#define SECP256K1_SCHNORRSIG_EXTRAPARAMS_INIT {\
-    SECP256K1_SCHNORRSIG_EXTRAPARAMS_MAGIC,\
-    NULL,\
-    NULL\
-}
+/** Serialize a Schnorr signature.
+ *
+ *  Returns: 1
+ *  Args:    ctx: a secp256k1 context object
+ *  Out:   out64: pointer to a 64-byte array to store the serialized signature
+ *  In:      sig: pointer to the signature
+ *
+ *  See secp256k1_schnorrsig_parse for details about the encoding.
+ */
+SECP256K1_API int secp256k1_schnorrsig_serialize(
+    const secp256k1_context* ctx,
+    unsigned char *out64,
+    const secp256k1_schnorrsig* sig
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
+
+/** Parse a Schnorr signature.
+ *
+ *  Returns: 1 when the signature could be parsed, 0 otherwise.
+ *  Args:    ctx: a secp256k1 context object
+ *  Out:     sig: pointer to a signature object
+ *  In:     in64: pointer to the 64-byte signature to be parsed
+ *
+ * The signature is serialized in the form R||s, where R is a 32-byte public
+ * key (x-coordinate only; the y-coordinate is considered to be the unique
+ * y-coordinate satisfying the curve equation that is a quadratic residue)
+ * and s is a 32-byte big-endian scalar.
+ *
+ * After the call, sig will always be initialized. If parsing failed or the
+ * encoded numbers are out of range, signature validation with it is
+ * guaranteed to fail for every message and public key.
+ */
+SECP256K1_API int secp256k1_schnorrsig_parse(
+    const secp256k1_context* ctx,
+    secp256k1_schnorrsig* sig,
+    const unsigned char *in64
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
 
 /** Create a Schnorr signature.
  *
- *  Does _not_ strictly follow BIP-340 because it does not verify the resulting
- *  signature. Instead, you can manually use secp256k1_schnorrsig_verify and
- *  abort if it fails.
- *
- *  This function only signs 32-byte messages. If you have messages of a
- *  different size (or the same size but without a context-specific tag
- *  prefix), it is recommended to create a 32-byte message hash with
- *  secp256k1_tagged_sha256 and then sign the hash. Tagged hashing allows
- *  providing an context-specific tag for domain separation. This prevents
- *  signatures from being valid in multiple contexts by accident.
- *
- *  Returns 1 on success, 0 on failure.
- *  Args:    ctx: pointer to a context object, initialized for signing.
- *  Out:   sig64: pointer to a 64-byte array to store the serialized signature.
- *  In:    msg32: the 32-byte message being signed.
- *       keypair: pointer to an initialized keypair.
- *    aux_rand32: 32 bytes of fresh randomness. While recommended to provide
- *                this, it is only supplemental to security and can be NULL. A
- *                NULL argument is treated the same as an all-zero one. See
- *                BIP-340 "Default Signing" for a full explanation of this
- *                argument and for guidance if randomness is expensive.
+ * Returns 1 on success, 0 on failure.
+ *  Args:    ctx: pointer to a context object, initialized for signing (cannot be NULL)
+ *  Out:     sig: pointer to the returned signature (cannot be NULL)
+ *       nonce_is_negated: a pointer to an integer indicates if signing algorithm negated the
+ *                nonce (can be NULL)
+ *  In:    msg32: the 32-byte message hash being signed (cannot be NULL)
+ *        seckey: pointer to a 32-byte secret key (cannot be NULL)
+ *       noncefp: pointer to a nonce generation function. If NULL, secp256k1_nonce_function_bipschnorr is used
+ *         ndata: pointer to arbitrary data used by the nonce generation function (can be NULL)
  */
-SECP256K1_API int secp256k1_schnorrsig_sign32(
-    const secp256k1_context* ctx,
-    unsigned char *sig64,
-    const unsigned char *msg32,
-    const secp256k1_keypair *keypair,
-    const unsigned char *aux_rand32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
-
-/** Same as secp256k1_schnorrsig_sign32, but DEPRECATED. Will be removed in
- *  future versions. */
 SECP256K1_API int secp256k1_schnorrsig_sign(
     const secp256k1_context* ctx,
-    unsigned char *sig64,
+    secp256k1_schnorrsig *sig,
+    int *nonce_is_negated,
     const unsigned char *msg32,
-    const secp256k1_keypair *keypair,
-    const unsigned char *aux_rand32
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4)
-  SECP256K1_DEPRECATED("Use secp256k1_schnorrsig_sign32 instead");
-
-/** Create a Schnorr signature with a more flexible API.
- *
- *  Same arguments as secp256k1_schnorrsig_sign except that it allows signing
- *  variable length messages and accepts a pointer to an extraparams object that
- *  allows customizing signing by passing additional arguments.
- *
- *  Creates the same signatures as schnorrsig_sign if msglen is 32 and the
- *  extraparams.ndata is the same as aux_rand32.
- *
- *  In:     msg: the message being signed. Can only be NULL if msglen is 0.
- *       msglen: length of the message
- *  extraparams: pointer to a extraparams object (can be NULL)
- */
-SECP256K1_API int secp256k1_schnorrsig_sign_custom(
-    const secp256k1_context* ctx,
-    unsigned char *sig64,
-    const unsigned char *msg,
-    size_t msglen,
-    const secp256k1_keypair *keypair,
-    secp256k1_schnorrsig_extraparams *extraparams
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(5);
+    const unsigned char *seckey,
+    secp256k1_nonce_function noncefp,
+    void *ndata
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(5);
 
 /** Verify a Schnorr signature.
  *
  *  Returns: 1: correct signature
- *           0: incorrect signature
+ *           0: incorrect or unparseable signature
  *  Args:    ctx: a secp256k1 context object, initialized for verification.
- *  In:    sig64: pointer to the 64-byte signature to verify.
- *           msg: the message being verified. Can only be NULL if msglen is 0.
- *        msglen: length of the message
- *        pubkey: pointer to an x-only public key to verify with (cannot be NULL)
+ *  In:      sig: the signature being verified (cannot be NULL)
+ *         msg32: the 32-byte message hash being verified (cannot be NULL)
+ *        pubkey: pointer to a public key to verify with (cannot be NULL)
  */
 SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify(
     const secp256k1_context* ctx,
-    const unsigned char *sig64,
-    const unsigned char *msg,
-    size_t msglen,
-    const secp256k1_xonly_pubkey *pubkey
-) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(5);
+    const secp256k1_schnorrsig *sig,
+    const unsigned char *msg32,
+    const secp256k1_pubkey *pubkey
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4);
 
-#ifdef __cplusplus
-}
+/** Verifies a set of Schnorr signatures.
+ *
+ * Returns 1 if all succeeded, 0 otherwise. In particular, returns 1 if n_sigs is 0.
+ *
+ *  Args:    ctx: a secp256k1 context object, initialized for verification.
+ *       scratch: scratch space used for the multiexponentiation
+ *  In:      sig: array of signatures, or NULL if there are no signatures
+ *         msg32: array of messages, or NULL if there are no signatures
+ *            pk: array of public keys, or NULL if there are no signatures
+ *        n_sigs: number of signatures in above arrays. Must be smaller than
+ *                2^31 and smaller than half the maximum size_t value. Must be 0
+ *                if above arrays are NULL.
+ */
+SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_schnorrsig_verify_batch(
+    const secp256k1_context* ctx,
+    secp256k1_scratch_space *scratch,
+    const secp256k1_schnorrsig *const *sig,
+    const unsigned char *const *msg32,
+    const secp256k1_pubkey *const *pk,
+    size_t n_sigs
+) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2);
 #endif
-
-#endif /* SECP256K1_SCHNORRSIG_H */

include/secp256k1_surjectionproof.h

@@ -11,9 +11,6 @@ extern "C" {
 /** Maximum number of inputs that may be given in a surjection proof */
 #define SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS 256
 
-/** Maximum number of inputs that may be used in a surjection proof */
-#define SECP256K1_SURJECTIONPROOF_MAX_USED_INPUTS 256
-
 /** Number of bytes a serialized surjection proof requires given the
  *  number of inputs and the number of used inputs.
  */
@@ -22,7 +19,7 @@ extern "C" {
 
 /** Maximum number of bytes a serialized surjection proof requires. */
 #define SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES_MAX \
-    SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES(SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS, SECP256K1_SURJECTIONPROOF_MAX_USED_INPUTS)
+    SECP256K1_SURJECTIONPROOF_SERIALIZATION_BYTES(SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS, SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS)
 
 /** Opaque data structure that holds a parsed surjection proof
  *
@@ -49,10 +46,9 @@ typedef struct {
     /** Bitmap of which input tags are used in the surjection proof */
     unsigned char used_inputs[SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS / 8];
     /** Borromean signature: e0, scalars */
-    unsigned char data[32 * (1 + SECP256K1_SURJECTIONPROOF_MAX_USED_INPUTS)];
+    unsigned char data[32 * (1 + SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS)];
 } secp256k1_surjectionproof;
 
-#ifndef USE_REDUCED_SURJECTION_PROOF_SIZE
 /** Parse a surjection proof
  *
  *  Returns: 1 when the proof could be parsed, 0 otherwise.
@@ -74,7 +70,6 @@ SECP256K1_API int secp256k1_surjectionproof_parse(
   const unsigned char *input,
   size_t inputlen
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3);
-#endif
 
 /** Serialize a surjection proof
  *
@@ -148,8 +143,7 @@ SECP256K1_API size_t secp256k1_surjectionproof_serialized_size(
  *                        e.g. in a coinjoin with others' inputs, an ephemeral tag can be given;
  *                        this won't match the output tag but might be used in the anonymity set.)
  *          n_input_tags: the number of entries in the fixed_input_tags array
- *   n_input_tags_to_use: the number of inputs to select randomly to put in the anonymity set
- *                        Must be <= SECP256K1_SURJECTIONPROOF_MAX_USED_INPUTS
+ *      n_input_tags_to_use: the number of inputs to select randomly to put in the anonymity set
  *      fixed_output_tag: fixed output tag
  *      max_n_iterations: the maximum number of iterations to do before giving up. Because the
  *                        maximum number of inputs (SECP256K1_SURJECTIONPROOF_MAX_N_INPUTS) is
@@ -243,7 +237,6 @@ SECP256K1_API SECP256K1_WARN_UNUSED_RESULT int secp256k1_surjectionproof_generat
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8);
 
 
-#ifndef USE_REDUCED_SURJECTION_PROOF_SIZE
 /** Surjection proof verification function
  * Returns 0: proof was invalid
  *         1: proof was valid
@@ -261,7 +254,6 @@ SECP256K1_API int secp256k1_surjectionproof_verify(
   size_t n_ephemeral_input_tags,
   const secp256k1_generator* ephemeral_output_tag
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(5);
-#endif
 
 #ifdef __cplusplus
 }

include/secp256k1_whitelist.h

@@ -13,7 +13,7 @@
 extern "C" {
 #endif
 
-#define SECP256K1_WHITELIST_MAX_N_KEYS 255
+#define SECP256K1_WHITELIST_MAX_N_KEYS	256
 
 /** Opaque data structure that holds a parsed whitelist proof
  *
@@ -101,6 +101,8 @@ SECP256K1_API int secp256k1_whitelist_signature_serialize(
  *         online_seckey: the secret key to the signer's online pubkey
  *         summed_seckey: the secret key to the sum of (whitelisted key, signer's offline pubkey)
  *         index: the signer's index in the lists of keys
+ *         noncefp:pointer to a nonce generation function. If NULL, secp256k1_nonce_function_default is used
+ *         ndata:  pointer to arbitrary data used by the nonce generation function (can be NULL)
  * Out:    sig: The produced signature.
  *
  * The signatures are of the list of all passed pubkeys in the order
@@ -118,8 +120,10 @@ SECP256K1_API int secp256k1_whitelist_sign(
   const size_t n_keys,
   const secp256k1_pubkey *sub_pubkey,
   const unsigned char *online_seckey,
-  const unsigned char *summed_seckeyx,
-  const size_t index
+  const unsigned char *summed_seckey,
+  const size_t index,
+  secp256k1_nonce_function noncefp,
+  const void *noncedata
 ) SECP256K1_ARG_NONNULL(1) SECP256K1_ARG_NONNULL(2) SECP256K1_ARG_NONNULL(3) SECP256K1_ARG_NONNULL(4) SECP256K1_ARG_NONNULL(6) SECP256K1_ARG_NONNULL(7) SECP256K1_ARG_NONNULL(8);
 
 /** Verify a whitelist signature

sage/gen_exhaustive_groups.sage

@@ -1,124 +0,0 @@
-load("secp256k1_params.sage")
-
-orders_done = set()
-results = {}
-first = True
-for b in range(1, P):
-    # There are only 6 curves (up to isomorphism) of the form y^2=x^3+B. Stop once we have tried all.
-    if len(orders_done) == 6:
-        break
-
-    E = EllipticCurve(F, [0, b])
-    print("Analyzing curve y^2 = x^3 + %i" % b)
-    n = E.order()
-    # Skip curves with an order we've already tried
-    if n in orders_done:
-        print("- Isomorphic to earlier curve")
-        continue
-    orders_done.add(n)
-    # Skip curves isomorphic to the real secp256k1
-    if n.is_pseudoprime():
-        print(" - Isomorphic to secp256k1")
-        continue
-
-    print("- Finding subgroups")
-
-    # Find what prime subgroups exist
-    for f, _ in n.factor():
-        print("- Analyzing subgroup of order %i" % f)
-        # Skip subgroups of order >1000
-        if f < 4 or f > 1000:
-            print("  - Bad size")
-            continue
-
-        # Iterate over X coordinates until we find one that is on the curve, has order f,
-        # and for which curve isomorphism exists that maps it to X coordinate 1.
-        for x in range(1, P):
-            # Skip X coordinates not on the curve, and construct the full point otherwise.
-            if not E.is_x_coord(x):
-                continue
-            G = E.lift_x(F(x))
-
-            print("  - Analyzing (multiples of) point with X=%i" % x)
-
-            # Skip points whose order is not a multiple of f. Project the point to have
-            # order f otherwise.
-            if (G.order() % f):
-                print("    - Bad order")
-                continue
-            G = G * (G.order() // f)
-
-            # Find lambda for endomorphism. Skip if none can be found.
-            lam = None
-            for l in Integers(f)(1).nth_root(3, all=True):
-                if int(l)*G == E(BETA*G[0], G[1]):
-                    lam = int(l)
-                    break
-            if lam is None:
-                print("    - No endomorphism for this subgroup")
-                break
-
-            # Now look for an isomorphism of the curve that gives this point an X
-            # coordinate equal to 1.
-            # If (x,y) is on y^2 = x^3 + b, then (a^2*x, a^3*y) is on y^2 = x^3 + a^6*b.
-            # So look for m=a^2=1/x.
-            m = F(1)/G[0]
-            if not m.is_square():
-                print("    - No curve isomorphism maps it to a point with X=1")
-                continue
-            a = m.sqrt()
-            rb = a^6*b
-            RE = EllipticCurve(F, [0, rb])
-
-            # Use as generator twice the image of G under the above isormorphism.
-            # This means that generator*(1/2 mod f) will have X coordinate 1.
-            RG = RE(1, a^3*G[1]) * 2
-            # And even Y coordinate.
-            if int(RG[1]) % 2:
-                RG = -RG
-            assert(RG.order() == f)
-            assert(lam*RG == RE(BETA*RG[0], RG[1]))
-
-            # We have found curve RE:y^2=x^3+rb with generator RG of order f. Remember it
-            results[f] = {"b": rb, "G": RG, "lambda": lam}
-            print("    - Found solution")
-            break
-
-    print("")
-
-print("")
-print("")
-print("/* To be put in src/group_impl.h: */")
-first = True
-for f in sorted(results.keys()):
-    b = results[f]["b"]
-    G = results[f]["G"]
-    print("#  %s EXHAUSTIVE_TEST_ORDER == %i" % ("if" if first else "elif", f))
-    first = False
-    print("static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(")
-    print("    0x%08x, 0x%08x, 0x%08x, 0x%08x," % tuple((int(G[0]) >> (32 * (7 - i))) & 0xffffffff for i in range(4)))
-    print("    0x%08x, 0x%08x, 0x%08x, 0x%08x," % tuple((int(G[0]) >> (32 * (7 - i))) & 0xffffffff for i in range(4, 8)))
-    print("    0x%08x, 0x%08x, 0x%08x, 0x%08x," % tuple((int(G[1]) >> (32 * (7 - i))) & 0xffffffff for i in range(4)))
-    print("    0x%08x, 0x%08x, 0x%08x, 0x%08x" % tuple((int(G[1]) >> (32 * (7 - i))) & 0xffffffff for i in range(4, 8)))
-    print(");")
-    print("static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(")
-    print("    0x%08x, 0x%08x, 0x%08x, 0x%08x," % tuple((int(b) >> (32 * (7 - i))) & 0xffffffff for i in range(4)))
-    print("    0x%08x, 0x%08x, 0x%08x, 0x%08x" % tuple((int(b) >> (32 * (7 - i))) & 0xffffffff for i in range(4, 8)))
-    print(");")
-print("#  else")
-print("#    error No known generator for the specified exhaustive test group order.")
-print("#  endif")
-
-print("")
-print("")
-print("/* To be put in src/scalar_impl.h: */")
-first = True
-for f in sorted(results.keys()):
-    lam = results[f]["lambda"]
-    print("#  %s EXHAUSTIVE_TEST_ORDER == %i" % ("if" if first else "elif", f))
-    first = False
-    print("#    define EXHAUSTIVE_TEST_LAMBDA %i" % lam)
-print("#  else")
-print("#    error No known lambda for the specified exhaustive test group order.")
-print("#  endif")
-print("")

sage/gen_split_lambda_constants.sage

@@ -1,114 +0,0 @@
-""" Generates the constants used in secp256k1_scalar_split_lambda.
-
-See the comments for secp256k1_scalar_split_lambda in src/scalar_impl.h for detailed explanations.
-"""
-
-load("secp256k1_params.sage")
-
-def inf_norm(v):
-    """Returns the infinity norm of a vector."""
-    return max(map(abs, v))
-
-def gauss_reduction(i1, i2):
-    v1, v2 = i1.copy(), i2.copy()
-    while True:
-        if inf_norm(v2) < inf_norm(v1):
-            v1, v2 = v2, v1
-        # This is essentially
-        #    m = round((v1[0]*v2[0] + v1[1]*v2[1]) / (inf_norm(v1)**2))
-        # (rounding to the nearest integer) without relying on floating point arithmetic.
-        m = ((v1[0]*v2[0] + v1[1]*v2[1]) + (inf_norm(v1)**2) // 2) // (inf_norm(v1)**2)
-        if m == 0:
-            return v1, v2
-        v2[0] -= m*v1[0]
-        v2[1] -= m*v1[1]
-
-def find_split_constants_gauss():
-    """Find constants for secp256k1_scalar_split_lamdba using gauss reduction."""
-    (v11, v12), (v21, v22) = gauss_reduction([0, N], [1, int(LAMBDA)])
-
-    # We use related vectors in secp256k1_scalar_split_lambda.
-    A1, B1 = -v21, -v11
-    A2, B2 = v22, -v21
-
-    return A1, B1, A2, B2
-
-def find_split_constants_explicit_tof():
-    """Find constants for secp256k1_scalar_split_lamdba using the trace of Frobenius.
-
-    See Benjamin Smith: "Easy scalar decompositions for efficient scalar multiplication on
-    elliptic curves and genus 2 Jacobians" (https://eprint.iacr.org/2013/672), Example 2
-    """
-    assert P % 3 == 1 # The paper says P % 3 == 2 but that appears to be a mistake, see [10].
-    assert C.j_invariant() == 0
-
-    t = C.trace_of_frobenius()
-
-    c = Integer(sqrt((4*P - t**2)/3))
-    A1 = Integer((t - c)/2 - 1)
-    B1 = c
-
-    A2 = Integer((t + c)/2 - 1)
-    B2 = Integer(1 - (t - c)/2)
-
-    # We use a negated b values in secp256k1_scalar_split_lambda.
-    B1, B2 = -B1, -B2
-
-    return A1, B1, A2, B2
-
-A1, B1, A2, B2 = find_split_constants_explicit_tof()
-
-# For extra fun, use an independent method to recompute the constants.
-assert (A1, B1, A2, B2) == find_split_constants_gauss()
-
-# PHI : Z[l] -> Z_n where phi(a + b*l) == a + b*lambda mod n.
-def PHI(a,b):
-    return Z(a + LAMBDA*b)
-
-# Check that (A1, B1) and (A2, B2) are in the kernel of PHI.
-assert PHI(A1, B1) == Z(0)
-assert PHI(A2, B2) == Z(0)
-
-# Check that the parallelogram generated by (A1, A2) and (B1, B2)
-# is a fundamental domain by containing exactly N points.
-# Since the LHS is the determinant and N != 0, this also checks that
-# (A1, A2) and (B1, B2) are linearly independent. By the previous
-# assertions, (A1, A2) and (B1, B2) are a basis of the kernel.
-assert A1*B2 - B1*A2 == N
-
-# Check that their components are short enough.
-assert (A1 + A2)/2 < sqrt(N)
-assert B1 < sqrt(N)
-assert B2 < sqrt(N)
-
-G1 = round((2**384)*B2/N)
-G2 = round((2**384)*(-B1)/N)
-
-def rnddiv2(v):
-    if v & 1:
-        v += 1
-    return v >> 1
-
-def scalar_lambda_split(k):
-    """Equivalent to secp256k1_scalar_lambda_split()."""
-    c1 = rnddiv2((k * G1) >> 383)
-    c2 = rnddiv2((k * G2) >> 383)
-    c1 = (c1 * -B1) % N
-    c2 = (c2 * -B2) % N
-    r2 = (c1 + c2) % N
-    r1 = (k + r2 * -LAMBDA) % N
-    return (r1, r2)
-
-# The result of scalar_lambda_split can depend on the representation of k (mod n).
-SPECIAL = (2**383) // G2 + 1
-assert scalar_lambda_split(SPECIAL) != scalar_lambda_split(SPECIAL + N)
-
-print('  A1     =', hex(A1))
-print(' -B1     =', hex(-B1))
-print('  A2     =', hex(A2))
-print(' -B2     =', hex(-B2))
-print('         =', hex(Z(-B2)))
-print(' -LAMBDA =', hex(-LAMBDA))
-
-print('  G1     =', hex(G1))
-print('  G2     =', hex(G2))

sage/group_prover.sage

@@ -42,7 +42,7 @@
 #     as we assume that all constraints in it are complementary with each other.
 #
 # Based on the sage verification scripts used in the Explicit-Formulas Database
-# by Tanja Lange and others, see https://hyperelliptic.org/EFD
+# by Tanja Lange and others, see http://hyperelliptic.org/EFD
 
 class fastfrac:
   """Fractions over rings."""
@@ -65,7 +65,7 @@ class fastfrac:
     return self.top in I and self.bot not in I
 
   def reduce(self,assumeZero):
-    zero = self.R.ideal(list(map(numerator, assumeZero)))
+    zero = self.R.ideal(map(numerator, assumeZero))
     return fastfrac(self.R, zero.reduce(self.top)) / fastfrac(self.R, zero.reduce(self.bot))
 
   def __add__(self,other):
@@ -100,7 +100,7 @@ class fastfrac:
     """Multiply something else with a fraction."""
     return self.__mul__(other)
 
-  def __truediv__(self,other):
+  def __div__(self,other):
     """Divide two fractions."""
     if parent(other) == ZZ:
       return fastfrac(self.R,self.top,self.bot * other)
@@ -108,11 +108,6 @@ class fastfrac:
       return fastfrac(self.R,self.top * other.bot,self.bot * other.top)
     return NotImplemented
 
-  # Compatibility wrapper for Sage versions based on Python 2
-  def __div__(self,other):
-     """Divide two fractions."""
-     return self.__truediv__(other)
-
   def __pow__(self,other):
     """Compute a power of a fraction."""
     if parent(other) == ZZ:
@@ -164,9 +159,6 @@ class constraints:
   def negate(self):
     return constraints(zero=self.nonzero, nonzero=self.zero)
 
-  def map(self, fun):
-    return constraints(zero={fun(k): v for k, v in self.zero.items()}, nonzero={fun(k): v for k, v in self.nonzero.items()})
-
   def __add__(self, other):
     zero = self.zero.copy()
     zero.update(other.zero)
@@ -180,34 +172,10 @@ class constraints:
   def __repr__(self):
     return "%s" % self
 
-def normalize_factor(p):
-  """Normalizes the sign of primitive polynomials (as returned by factor())
-
-  This function ensures that the polynomial has a positive leading coefficient.
-
-  This is necessary because recent sage versions (starting with v9.3 or v9.4,
-  we don't know) are inconsistent about the placement of the minus sign in
-  polynomial factorizations:
-  ```
-  sage: R.<ax,bx,ay,by,Az,Bz,Ai,Bi> = PolynomialRing(QQ,8,order='invlex')
-  sage: R((-2 * (bx - ax)) ^ 1).factor()
-  (-2) * (bx - ax)
-  sage: R((-2 * (bx - ax)) ^ 2).factor()
-  (4) * (-bx + ax)^2
-  sage: R((-2 * (bx - ax)) ^ 3).factor()
-  (8) * (-bx + ax)^3
-  ```
-  """
-  # Assert p is not 0 and that its non-zero coeffients are coprime.
-  # (We could just work with the primitive part p/p.content() but we want to be
-  # aware if factor() does not return a primitive part in future sage versions.)
-  assert p.content() == 1
-  # Ensure that the first non-zero coefficient is positive.
-  return p if p.lc() > 0 else -p
 
 def conflicts(R, con):
   """Check whether any of the passed non-zero assumptions is implied by the zero assumptions"""
-  zero = R.ideal(list(map(numerator, con.zero)))
+  zero = R.ideal(map(numerator, con.zero))
   if 1 in zero:
     return True
   # First a cheap check whether any of the individual nonzero terms conflict on
@@ -227,20 +195,20 @@ def conflicts(R, con):
 
 def get_nonzero_set(R, assume):
   """Calculate a simple set of nonzero expressions"""
-  zero = R.ideal(list(map(numerator, assume.zero)))
+  zero = R.ideal(map(numerator, assume.zero))
   nonzero = set()
   for nz in map(numerator, assume.nonzero):
     for (f,n) in nz.factor():
-      nonzero.add(normalize_factor(f))
+      nonzero.add(f)
     rnz = zero.reduce(nz)
     for (f,n) in rnz.factor():
-      nonzero.add(normalize_factor(f))
+      nonzero.add(f)
   return nonzero
 
 
 def prove_nonzero(R, exprs, assume):
   """Check whether an expression is provably nonzero, given assumptions"""
-  zero = R.ideal(list(map(numerator, assume.zero)))
+  zero = R.ideal(map(numerator, assume.zero))
   nonzero = get_nonzero_set(R, assume)
   expl = set()
   ok = True
@@ -249,27 +217,27 @@ def prove_nonzero(R, exprs, assume):
       return (False, [exprs[expr]])
   allexprs = reduce(lambda a,b: numerator(a)*numerator(b), exprs, 1)
   for (f, n) in allexprs.factor():
-    if normalize_factor(f) not in nonzero:
+    if f not in nonzero:
       ok = False
   if ok:
     return (True, None)
   ok = True
-  for (f, n) in zero.reduce(allexprs).factor():
-    if normalize_factor(f) not in nonzero:
+  for (f, n) in zero.reduce(numerator(allexprs)).factor():
+    if f not in nonzero:
       ok = False
   if ok:
     return (True, None)
   ok = True
   for expr in exprs:
     for (f,n) in numerator(expr).factor():
-      if normalize_factor(f) not in nonzero:
+      if f not in nonzero:
         ok = False
   if ok:
     return (True, None)
   ok = True
   for expr in exprs:
     for (f,n) in zero.reduce(numerator(expr)).factor():
-      if normalize_factor(f) not in nonzero:
+      if f not in nonzero:
         expl.add(exprs[expr])
   if expl:
     return (False, list(expl))
@@ -281,8 +249,8 @@ def prove_zero(R, exprs, assume):
   """Check whether all of the passed expressions are provably zero, given assumptions"""
   r, e = prove_nonzero(R, dict(map(lambda x: (fastfrac(R, x.bot, 1), exprs[x]), exprs)), assume)
   if not r:
-    return (False, list(map(lambda x: "Possibly zero denominator: %s" % x, e)))
-  zero = R.ideal(list(map(numerator, assume.zero)))
+    return (False, map(lambda x: "Possibly zero denominator: %s" % x, e))
+  zero = R.ideal(map(numerator, assume.zero))
   nonzero = prod(x for x in assume.nonzero)
   expl = []
   for expr in exprs:
@@ -297,8 +265,8 @@ def describe_extra(R, assume, assumeExtra):
   """Describe what assumptions are added, given existing assumptions"""
   zerox = assume.zero.copy()
   zerox.update(assumeExtra.zero)
-  zero = R.ideal(list(map(numerator, assume.zero)))
-  zeroextra = R.ideal(list(map(numerator, zerox)))
+  zero = R.ideal(map(numerator, assume.zero))
+  zeroextra = R.ideal(map(numerator, zerox))
   nonzero = get_nonzero_set(R, assume)
   ret = set()
   # Iterate over the extra zero expressions
@@ -306,8 +274,8 @@ def describe_extra(R, assume, assumeExtra):
     if base not in zero:
       add = []
       for (f, n) in numerator(base).factor():
-        if normalize_factor(f) not in nonzero:
-          add += ["%s" % normalize_factor(f)]
+        if f not in nonzero:
+          add += ["%s" % f]
       if add:
         ret.add((" * ".join(add)) + " = 0 [%s]" % assumeExtra.zero[base])
   # Iterate over the extra nonzero expressions
@@ -315,8 +283,8 @@ def describe_extra(R, assume, assumeExtra):
     nzr = zeroextra.reduce(numerator(nz))
     if nzr not in zeroextra:
       for (f,n) in nzr.factor():
-        if normalize_factor(zeroextra.reduce(f)) not in nonzero:
-          ret.add("%s != 0" % normalize_factor(zeroextra.reduce(f)))
+        if zeroextra.reduce(f) not in nonzero:
+          ret.add("%s != 0" % zeroextra.reduce(f))
   return ", ".join(x for x in ret)
 
 
@@ -326,21 +294,22 @@ def check_symbolic(R, assumeLaw, assumeAssert, assumeBranch, require):
 
   if conflicts(R, assume):
     # This formula does not apply
-    return (True, None)
+    return None
 
   describe = describe_extra(R, assumeLaw + assumeBranch, assumeAssert)
-  if describe != "":
-    describe = " (assuming " + describe + ")"
 
   ok, msg = prove_zero(R, require.zero, assume)
   if not ok:
-    return (False, "FAIL, %s fails%s" % (str(msg), describe))
+    return "FAIL, %s fails (assuming %s)" % (str(msg), describe)
 
   res, expl = prove_nonzero(R, require.nonzero, assume)
   if not res:
-    return (False, "FAIL, %s fails%s" % (str(expl), describe))
+    return "FAIL, %s fails (assuming %s)" % (str(expl), describe)
 
-  return (True, "OK%s" % describe)
+  if describe != "":
+    return "OK (assuming %s)" % describe
+  else:
+    return "OK"
 
 
 def concrete_verify(c):

sage/secp256k1.sage

@@ -8,20 +8,25 @@ load("weierstrass_prover.sage")
 def formula_secp256k1_gej_double_var(a):
   """libsecp256k1's secp256k1_gej_double_var, used by various addition functions"""
   rz = a.Z * a.Y
-  s = a.Y^2
-  l = a.X^2
-  l = l * 3
-  l = l / 2
-  t = -s
-  t = t * a.X
-  rx = l^2
-  rx = rx + t
-  rx = rx + t
-  s = s^2
-  t = t + rx
-  ry = t * l
-  ry = ry + s
-  ry = -ry
+  rz = rz * 2
+  t1 = a.X^2
+  t1 = t1 * 3
+  t2 = t1^2
+  t3 = a.Y^2
+  t3 = t3 * 2
+  t4 = t3^2
+  t4 = t4 * 2
+  t3 = t3 * a.X
+  rx = t3
+  rx = rx * 4
+  rx = -rx
+  rx = rx + t2
+  t2 = -t2
+  t3 = t3 * 6
+  t3 = t3 + t2
+  ry = t1 * t3
+  t2 = -t4
+  ry = ry + t2
   return jacobianpoint(rx, ry, rz)
 
 def formula_secp256k1_gej_add_var(branch, a, b):
@@ -192,8 +197,7 @@ def formula_secp256k1_gej_add_ge(branch, a, b):
     rr_alt = rr
     m_alt = m
   n = m_alt^2
-  q = -t
-  q = q * n
+  q = n * t
   n = n^2
   if degenerate:
     n = m
@@ -206,6 +210,8 @@ def formula_secp256k1_gej_add_ge(branch, a, b):
     zeroes.update({rz : 'r.z=0'})
   else:
     nonzeroes.update({rz : 'r.z!=0'})
+  rz = rz * 2
+  q = -q
   t = t + q
   rx = t
   t = t * 2
@@ -213,7 +219,8 @@ def formula_secp256k1_gej_add_ge(branch, a, b):
   t = t * rr_alt
   t = t + n
   ry = -t
-  ry = ry / 2
+  rx = rx * 4
+  ry = ry * 4
   if a_infinity:
     rx = b.X
     ry = b.Y
@@ -285,18 +292,15 @@ def formula_secp256k1_gej_add_ge_old(branch, a, b):
   return (constraints(zero={b.Z - 1 : 'b.z=1', b.Infinity : 'b_finite'}), constraints(zero=zero, nonzero=nonzero), jacobianpoint(rx, ry, rz))
 
 if __name__ == "__main__":
-  success = True
-  success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var)
-  success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var)
-  success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var)
-  success = success & check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge)
-  success = success & (not check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old))
+  check_symbolic_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var)
+  check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var)
+  check_symbolic_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var)
+  check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge)
+  check_symbolic_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old)
 
   if len(sys.argv) >= 2 and sys.argv[1] == "--exhaustive":
-    success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var, 43)
-    success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var, 43)
-    success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var, 43)
-    success = success & check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge, 43)
-    success = success & (not check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old, 43))
-
-  sys.exit(int(not success))
+    check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_var", 0, 7, 5, formula_secp256k1_gej_add_var, 43)
+    check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_var", 0, 7, 5, formula_secp256k1_gej_add_ge_var, 43)
+    check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_zinv_var", 0, 7, 5, formula_secp256k1_gej_add_zinv_var, 43)
+    check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge", 0, 7, 16, formula_secp256k1_gej_add_ge, 43)
+    check_exhaustive_jacobian_weierstrass("secp256k1_gej_add_ge_old [should fail]", 0, 7, 4, formula_secp256k1_gej_add_ge_old, 43)

sage/secp256k1_params.sage

@@ -1,39 +0,0 @@
-"""Prime order of finite field underlying secp256k1 (2^256 - 2^32 - 977)"""
-P = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F
-
-"""Finite field underlying secp256k1"""
-F = FiniteField(P)
-
-"""Elliptic curve secp256k1: y^2 = x^3 + 7"""
-C = EllipticCurve([F(0), F(7)])
-
-"""Base point of secp256k1"""
-G = C.lift_x(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798)
-if int(G[1]) & 1:
-    # G.y is even
-    G = -G
-
-"""Prime order of secp256k1"""
-N = C.order()
-
-"""Finite field of scalars of secp256k1"""
-Z = FiniteField(N)
-
-""" Beta value of secp256k1 non-trivial endomorphism: lambda * (x, y) = (beta * x, y)"""
-BETA = F(2)^((P-1)/3)
-
-""" Lambda value of secp256k1 non-trivial endomorphism: lambda * (x, y) = (beta * x, y)"""
-LAMBDA = Z(3)^((N-1)/3)
-
-assert is_prime(P)
-assert is_prime(N)
-
-assert BETA != F(1)
-assert BETA^3 == F(1)
-assert BETA^2 + BETA + 1 == 0
-
-assert LAMBDA != Z(1)
-assert LAMBDA^3 == Z(1)
-assert LAMBDA^2 + LAMBDA + 1 == 0
-
-assert Integer(LAMBDA)*G == C(BETA*G[0], G[1])

sage/weierstrass_prover.sage

@@ -175,25 +175,24 @@ laws_jacobian_weierstrass = {
 def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p):
   """Verify an implementation of addition of Jacobian points on a Weierstrass curve, by executing and validating the result for every possible addition in a prime field"""
   F = Integers(p)
-  print("Formula %s on Z%i:" % (name, p))
+  print "Formula %s on Z%i:" % (name, p)
   points = []
-  for x in range(0, p):
-    for y in range(0, p):
+  for x in xrange(0, p):
+    for y in xrange(0, p):
       point = affinepoint(F(x), F(y))
       r, e = concrete_verify(on_weierstrass_curve(A, B, point))
       if r:
         points.append(point)
 
-  ret = True
-  for za in range(1, p):
-    for zb in range(1, p):
+  for za in xrange(1, p):
+    for zb in xrange(1, p):
       for pa in points:
         for pb in points:
-          for ia in range(2):
-            for ib in range(2):
+          for ia in xrange(2):
+            for ib in xrange(2):
               pA = jacobianpoint(pa.x * F(za)^2, pa.y * F(za)^3, F(za), ia)
               pB = jacobianpoint(pb.x * F(zb)^2, pb.y * F(zb)^3, F(zb), ib)
-              for branch in range(0, branches):
+              for branch in xrange(0, branches):
                 assumeAssert, assumeBranch, pC = formula(branch, pA, pB)
                 pC.X = F(pC.X)
                 pC.Y = F(pC.Y)
@@ -207,16 +206,13 @@ def check_exhaustive_jacobian_weierstrass(name, A, B, branches, formula, p):
                     r, e = concrete_verify(assumeLaw)
                     if r:
                       if match:
-                        print("  multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity))
+                        print "  multiple branches for (%s,%s,%s,%s) + (%s,%s,%s,%s)" % (pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity)
                       else:
                         match = True
                       r, e = concrete_verify(require)
                       if not r:
-                        ret = False
-                        print("  failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e))
-
-  print()
-  return ret
+                        print "  failure in branch %i for (%s,%s,%s,%s) + (%s,%s,%s,%s) = (%s,%s,%s,%s): %s" % (branch, pA.X, pA.Y, pA.Z, pA.Infinity, pB.X, pB.Y, pB.Z, pB.Infinity, pC.X, pC.Y, pC.Z, pC.Infinity, e)
+  print
 
 
 def check_symbolic_function(R, assumeAssert, assumeBranch, f, A, B, pa, pb, pA, pB, pC):
@@ -246,30 +242,23 @@ def check_symbolic_jacobian_weierstrass(name, A, B, branches, formula):
   for key in laws_jacobian_weierstrass:
     res[key] = []
 
-  print("Formula " + name + ":")
+  print ("Formula " + name + ":")
   count = 0
-  ret = True
-  for branch in range(branches):
+  for branch in xrange(branches):
     assumeFormula, assumeBranch, pC = formula(branch, pA, pB)
-    assumeBranch = assumeBranch.map(lift)
-    assumeFormula = assumeFormula.map(lift)
     pC.X = lift(pC.X)
     pC.Y = lift(pC.Y)
     pC.Z = lift(pC.Z)
     pC.Infinity = lift(pC.Infinity)
 
     for key in laws_jacobian_weierstrass:
-      success, msg = check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC)
-      if not success:
-        ret = False
-      res[key].append((msg, branch))
+      res[key].append((check_symbolic_function(R, assumeFormula, assumeBranch, laws_jacobian_weierstrass[key], A, B, pa, pb, pA, pB, pC), branch))
 
   for key in res:
-    print("  %s:" % key)
+    print "  %s:" % key
     val = res[key]
     for x in val:
       if x[0] is not None:
-        print("    branch %i: %s" % (x[1], x[0]))
+        print "    branch %i: %s" % (x[1], x[0])
 
-  print()
-  return ret
+  print

src/asm/field_10x26_arm.s

@@ -1,9 +1,9 @@
 @ vim: set tabstop=8 softtabstop=8 shiftwidth=8 noexpandtab syntax=armasm:
-/***********************************************************************
- * Copyright (c) 2014 Wladimir J. van der Laan                         *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014 Wladimir J. van der Laan                        *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 /*
 ARM implementation of field_10x26 inner loops.
 

src/assumptions.h

@@ -1,80 +0,0 @@
-/***********************************************************************
- * Copyright (c) 2020 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
-
-#ifndef SECP256K1_ASSUMPTIONS_H
-#define SECP256K1_ASSUMPTIONS_H
-
-#include <limits.h>
-
-#include "util.h"
-
-/* This library, like most software, relies on a number of compiler implementation defined (but not undefined)
-   behaviours. Although the behaviours we require are essentially universal we test them specifically here to
-   reduce the odds of experiencing an unwelcome surprise.
-*/
-
-struct secp256k1_assumption_checker {
-    /* This uses a trick to implement a static assertion in C89: a type with an array of negative size is not
-       allowed. */
-    int dummy_array[(
-        /* Bytes are 8 bits. */
-        (CHAR_BIT == 8) &&
-
-        /* No integer promotion for uint32_t. This ensures that we can multiply uintXX_t values where XX >= 32
-           without signed overflow, which would be undefined behaviour. */
-        (UINT_MAX <= UINT32_MAX) &&
-
-        /* Conversions from unsigned to signed outside of the bounds of the signed type are
-           implementation-defined. Verify that they function as reinterpreting the lower
-           bits of the input in two's complement notation. Do this for conversions:
-           - from uint(N)_t to int(N)_t with negative result
-           - from uint(2N)_t to int(N)_t with negative result
-           - from int(2N)_t to int(N)_t with negative result
-           - from int(2N)_t to int(N)_t with positive result */
-
-        /* To int8_t. */
-        ((int8_t)(uint8_t)0xAB == (int8_t)-(int8_t)0x55) &&
-        ((int8_t)(uint16_t)0xABCD == (int8_t)-(int8_t)0x33) &&
-        ((int8_t)(int16_t)(uint16_t)0xCDEF == (int8_t)(uint8_t)0xEF) &&
-        ((int8_t)(int16_t)(uint16_t)0x9234 == (int8_t)(uint8_t)0x34) &&
-
-        /* To int16_t. */
-        ((int16_t)(uint16_t)0xBCDE == (int16_t)-(int16_t)0x4322) &&
-        ((int16_t)(uint32_t)0xA1B2C3D4 == (int16_t)-(int16_t)0x3C2C) &&
-        ((int16_t)(int32_t)(uint32_t)0xC1D2E3F4 == (int16_t)(uint16_t)0xE3F4) &&
-        ((int16_t)(int32_t)(uint32_t)0x92345678 == (int16_t)(uint16_t)0x5678) &&
-
-        /* To int32_t. */
-        ((int32_t)(uint32_t)0xB2C3D4E5 == (int32_t)-(int32_t)0x4D3C2B1B) &&
-        ((int32_t)(uint64_t)0xA123B456C789D012ULL == (int32_t)-(int32_t)0x38762FEE) &&
-        ((int32_t)(int64_t)(uint64_t)0xC1D2E3F4A5B6C7D8ULL == (int32_t)(uint32_t)0xA5B6C7D8) &&
-        ((int32_t)(int64_t)(uint64_t)0xABCDEF0123456789ULL == (int32_t)(uint32_t)0x23456789) &&
-
-        /* To int64_t. */
-        ((int64_t)(uint64_t)0xB123C456D789E012ULL == (int64_t)-(int64_t)0x4EDC3BA928761FEEULL) &&
-#if defined(SECP256K1_WIDEMUL_INT128)
-        ((int64_t)(((uint128_t)0xA1234567B8901234ULL << 64) + 0xC5678901D2345678ULL) == (int64_t)-(int64_t)0x3A9876FE2DCBA988ULL) &&
-        (((int64_t)(int128_t)(((uint128_t)0xB1C2D3E4F5A6B7C8ULL << 64) + 0xD9E0F1A2B3C4D5E6ULL)) == (int64_t)(uint64_t)0xD9E0F1A2B3C4D5E6ULL) &&
-        (((int64_t)(int128_t)(((uint128_t)0xABCDEF0123456789ULL << 64) + 0x0123456789ABCDEFULL)) == (int64_t)(uint64_t)0x0123456789ABCDEFULL) &&
-
-        /* To int128_t. */
-        ((int128_t)(((uint128_t)0xB1234567C8901234ULL << 64) + 0xD5678901E2345678ULL) == (int128_t)(-(int128_t)0x8E1648B3F50E80DCULL * 0x8E1648B3F50E80DDULL + 0x5EA688D5482F9464ULL)) &&
-#endif
-
-        /* Right shift on negative signed values is implementation defined. Verify that it
-           acts as a right shift in two's complement with sign extension (i.e duplicating
-           the top bit into newly added bits). */
-        ((((int8_t)0xE8) >> 2) == (int8_t)(uint8_t)0xFA) &&
-        ((((int16_t)0xE9AC) >> 4) == (int16_t)(uint16_t)0xFE9A) &&
-        ((((int32_t)0x937C918A) >> 9) == (int32_t)(uint32_t)0xFFC9BE48) &&
-        ((((int64_t)0xA8B72231DF9CF4B9ULL) >> 19) == (int64_t)(uint64_t)0xFFFFF516E4463BF3ULL) &&
-#if defined(SECP256K1_WIDEMUL_INT128)
-        ((((int128_t)(((uint128_t)0xCD833A65684A0DBCULL << 64) + 0xB349312F71EA7637ULL)) >> 39) == (int128_t)(((uint128_t)0xFFFFFFFFFF9B0674ULL << 64) + 0xCAD0941B79669262ULL)) &&
-#endif
-    1) * 2 - 1];
-};
-
-#endif /* SECP256K1_ASSUMPTIONS_H */

src/basic-config.h

@@ -1,16 +1,36 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_BASIC_CONFIG_H
 #define SECP256K1_BASIC_CONFIG_H
 
 #ifdef USE_BASIC_CONFIG
 
+#undef USE_ASM_X86_64
+#undef USE_ECMULT_STATIC_PRECOMPUTATION
+#undef USE_ENDOMORPHISM
+#undef USE_EXTERNAL_ASM
+#undef USE_EXTERNAL_DEFAULT_CALLBACKS
+#undef USE_FIELD_10X26
+#undef USE_FIELD_5X52
+#undef USE_FIELD_INV_BUILTIN
+#undef USE_FIELD_INV_NUM
+#undef USE_NUM_GMP
+#undef USE_NUM_NONE
+#undef USE_SCALAR_4X64
+#undef USE_SCALAR_8X32
+#undef USE_SCALAR_INV_BUILTIN
+#undef USE_SCALAR_INV_NUM
+
+#define USE_NUM_NONE 1
+#define USE_FIELD_INV_BUILTIN 1
+#define USE_SCALAR_INV_BUILTIN 1
+#define USE_FIELD_10X26 1
+#define USE_SCALAR_8X32 1
 #define ECMULT_WINDOW_SIZE 15
-#define ECMULT_GEN_PREC_BITS 4
 
 #endif /* USE_BASIC_CONFIG */
 

src/bench.c

@@ -1,234 +0,0 @@
-/***********************************************************************
- * Copyright (c) 2014 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
-
-#include <stdio.h>
-#include <string.h>
-
-#include "../include/secp256k1.h"
-#include "util.h"
-#include "bench.h"
-
-void help(int default_iters) {
-    printf("Benchmarks the following algorithms:\n");
-    printf("    - ECDSA signing/verification\n");
-
-#ifdef ENABLE_MODULE_ECDH
-    printf("    - ECDH key exchange (optional module)\n");
-#endif
-
-#ifdef ENABLE_MODULE_RECOVERY
-    printf("    - Public key recovery (optional module)\n");
-#endif
-
-#ifdef ENABLE_MODULE_SCHNORRSIG
-    printf("    - Schnorr signatures (optional module)\n");
-#endif
-
-    printf("\n");
-    printf("The default number of iterations for each benchmark is %d. This can be\n", default_iters);
-    printf("customized using the SECP256K1_BENCH_ITERS environment variable.\n");
-    printf("\n");
-    printf("Usage: ./bench [args]\n");
-    printf("By default, all benchmarks will be run.\n");
-    printf("args:\n");
-    printf("    help              : display this help and exit\n");
-    printf("    ecdsa             : all ECDSA algorithms--sign, verify, recovery (if enabled)\n");
-    printf("    ecdsa_sign        : ECDSA siging algorithm\n");
-    printf("    ecdsa_verify      : ECDSA verification algorithm\n");
-
-#ifdef ENABLE_MODULE_RECOVERY
-    printf("    ecdsa_recover     : ECDSA public key recovery algorithm\n");
-#endif
-
-#ifdef ENABLE_MODULE_ECDH
-    printf("    ecdh              : ECDH key exchange algorithm\n");
-#endif
-
-#ifdef ENABLE_MODULE_SCHNORRSIG
-    printf("    schnorrsig        : all Schnorr signature algorithms (sign, verify)\n");
-    printf("    schnorrsig_sign   : Schnorr sigining algorithm\n");
-    printf("    schnorrsig_verify : Schnorr verification algorithm\n");
-#endif
-
-    printf("\n");
-}
-
-typedef struct {
-    secp256k1_context *ctx;
-    unsigned char msg[32];
-    unsigned char key[32];
-    unsigned char sig[72];
-    size_t siglen;
-    unsigned char pubkey[33];
-    size_t pubkeylen;
-} bench_verify_data;
-
-static void bench_verify(void* arg, int iters) {
-    int i;
-    bench_verify_data* data = (bench_verify_data*)arg;
-
-    for (i = 0; i < iters; i++) {
-        secp256k1_pubkey pubkey;
-        secp256k1_ecdsa_signature sig;
-        data->sig[data->siglen - 1] ^= (i & 0xFF);
-        data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
-        data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
-        CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1);
-        CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1);
-        CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0));
-        data->sig[data->siglen - 1] ^= (i & 0xFF);
-        data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
-        data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
-    }
-}
-
-typedef struct {
-    secp256k1_context* ctx;
-    unsigned char msg[32];
-    unsigned char key[32];
-} bench_sign_data;
-
-static void bench_sign_setup(void* arg) {
-    int i;
-    bench_sign_data *data = (bench_sign_data*)arg;
-
-    for (i = 0; i < 32; i++) {
-        data->msg[i] = i + 1;
-    }
-    for (i = 0; i < 32; i++) {
-        data->key[i] = i + 65;
-    }
-}
-
-static void bench_sign_run(void* arg, int iters) {
-    int i;
-    bench_sign_data *data = (bench_sign_data*)arg;
-
-    unsigned char sig[74];
-    for (i = 0; i < iters; i++) {
-        size_t siglen = 74;
-        int j;
-        secp256k1_ecdsa_signature signature;
-        CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL));
-        CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature));
-        for (j = 0; j < 32; j++) {
-            data->msg[j] = sig[j];
-            data->key[j] = sig[j + 32];
-        }
-    }
-}
-
-#ifdef ENABLE_MODULE_ECDH
-# include "modules/ecdh/bench_impl.h"
-#endif
-
-#ifdef ENABLE_MODULE_RECOVERY
-# include "modules/recovery/bench_impl.h"
-#endif
-
-#ifdef ENABLE_MODULE_SCHNORRSIG
-# include "modules/schnorrsig/bench_impl.h"
-#endif
-
-int main(int argc, char** argv) {
-    int i;
-    secp256k1_pubkey pubkey;
-    secp256k1_ecdsa_signature sig;
-    bench_verify_data data;
-
-    int d = argc == 1;
-    int default_iters = 20000;
-    int iters = get_iters(default_iters);
-
-    /* Check for invalid user arguments */
-    char* valid_args[] = {"ecdsa", "verify", "ecdsa_verify", "sign", "ecdsa_sign", "ecdh", "recover",
-                         "ecdsa_recover", "schnorrsig", "schnorrsig_verify", "schnorrsig_sign"};
-    size_t valid_args_size = sizeof(valid_args)/sizeof(valid_args[0]);
-    int invalid_args = have_invalid_args(argc, argv, valid_args, valid_args_size);
-
-    if (argc > 1) {
-        if (have_flag(argc, argv, "-h")
-           || have_flag(argc, argv, "--help")
-           || have_flag(argc, argv, "help")) {
-            help(default_iters);
-            return 0;
-        } else if (invalid_args) {
-            fprintf(stderr, "./bench: unrecognized argument.\n\n");
-            help(default_iters);
-            return 1;
-        }
-    }
-
-/* Check if the user tries to benchmark optional module without building it */
-#ifndef ENABLE_MODULE_ECDH
-    if (have_flag(argc, argv, "ecdh")) { 
-        fprintf(stderr, "./bench: ECDH module not enabled.\n");
-        fprintf(stderr, "Use ./configure --enable-module-ecdh.\n\n");
-        return 1;
-    }
-#endif
-
-#ifndef ENABLE_MODULE_RECOVERY
-    if (have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) { 
-        fprintf(stderr, "./bench: Public key recovery module not enabled.\n");
-        fprintf(stderr, "Use ./configure --enable-module-recovery.\n\n");
-        return 1;
-    }
-#endif
-
-#ifndef ENABLE_MODULE_SCHNORRSIG
-    if (have_flag(argc, argv, "schnorrsig") || have_flag(argc, argv, "schnorrsig_sign") || have_flag(argc, argv, "schnorrsig_verify")) { 
-        fprintf(stderr, "./bench: Schnorr signatures module not enabled.\n");
-        fprintf(stderr, "Use ./configure --enable-module-schnorrsig.\n\n");
-        return 1;
-    }
-#endif
-
-    /* ECDSA verification benchmark */
-    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-
-    for (i = 0; i < 32; i++) {
-        data.msg[i] = 1 + i;
-    }
-    for (i = 0; i < 32; i++) {
-        data.key[i] = 33 + i;
-    }
-    data.siglen = 72;
-    CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL));
-    CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig));
-    CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key));
-    data.pubkeylen = 33;
-    CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
-
-    print_output_table_header_row();
-    if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "verify") || have_flag(argc, argv, "ecdsa_verify")) run_benchmark("ecdsa_verify", bench_verify, NULL, NULL, &data, 10, iters);
-
-    secp256k1_context_destroy(data.ctx);
-
-    /* ECDSA signing benchmark */
-    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
-
-    if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "sign") || have_flag(argc, argv, "ecdsa_sign")) run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, iters);
-
-    secp256k1_context_destroy(data.ctx);
-
-#ifdef ENABLE_MODULE_ECDH
-    /* ECDH benchmarks */
-    run_ecdh_bench(iters, argc, argv);
-#endif
-
-#ifdef ENABLE_MODULE_RECOVERY
-    /* ECDSA recovery benchmarks */
-    run_recovery_bench(iters, argc, argv);
-#endif
-
-#ifdef ENABLE_MODULE_SCHNORRSIG
-    /* Schnorr signature benchmarks */
-    run_schnorrsig_bench(iters, argc, argv);
-#endif
-
-    return 0;
-}

src/bench.h

@@ -1,99 +1,51 @@
-/***********************************************************************
- * Copyright (c) 2014 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_BENCH_H
 #define SECP256K1_BENCH_H
 
-#include <stdint.h>
 #include <stdio.h>
 #include <string.h>
+#include <math.h>
 #include "sys/time.h"
 
-static int64_t gettime_i64(void) {
+static double gettimedouble(void) {
     struct timeval tv;
     gettimeofday(&tv, NULL);
-    return (int64_t)tv.tv_usec + (int64_t)tv.tv_sec * 1000000LL;
+    return tv.tv_usec * 0.000001 + tv.tv_sec;
 }
 
-#define FP_EXP (6)
-#define FP_MULT (1000000LL)
-
-/* Format fixed point number. */
-void print_number(const int64_t x) {
-    int64_t x_abs, y;
-    int c, i, rounding, g; /* g = integer part size, c = fractional part size */
-    size_t ptr;
-    char buffer[30];
-
-    if (x == INT64_MIN) {
-        /* Prevent UB. */
-        printf("ERR");
-        return;
+void print_number(double x) {
+    double y = x;
+    int c = 0;
+    if (y < 0.0) {
+        y = -y;
     }
-    x_abs = x < 0 ? -x : x;
-
-    /* Determine how many decimals we want to show (more than FP_EXP makes no
-     * sense). */
-    y = x_abs;
-    c = 0;
-    while (y > 0LL && y < 100LL * FP_MULT && c < FP_EXP) {
-        y *= 10LL;
+    while (y > 0 && y < 100.0) {
+        y *= 10.0;
         c++;
     }
-
-    /* Round to 'c' decimals. */
-    y = x_abs;
-    rounding = 0;
-    for (i = c; i < FP_EXP; ++i) {
-        rounding = (y % 10) >= 5;
-        y /= 10;
-    }
-    y += rounding;
-
-    /* Format and print the number. */
-    ptr = sizeof(buffer) - 1;
-    buffer[ptr] = 0;
-    g = 0;
-    if (c != 0) { /* non zero fractional part */
-        for (i = 0; i < c; ++i) {
-            buffer[--ptr] = '0' + (y % 10);
-            y /= 10;
-        }
-    } else if (c == 0) { /* fractional part is 0 */
-        buffer[--ptr] = '0'; 
-    }
-    buffer[--ptr] = '.';
-    do {
-        buffer[--ptr] = '0' + (y % 10);
-        y /= 10;
-        g++;
-    } while (y != 0);
-    if (x < 0) {
-        buffer[--ptr] = '-';
-        g++;
-    }
-    printf("%5.*s", g, &buffer[ptr]); /* Prints integer part */
-    printf("%-*s", FP_EXP, &buffer[ptr + g]); /* Prints fractional part */
+    printf("%.*f", c, x);
 }
 
-void run_benchmark(char *name, void (*benchmark)(void*, int), void (*setup)(void*), void (*teardown)(void*, int), void* data, int count, int iter) {
+void run_benchmark(char *name, void (*benchmark)(void*), void (*setup)(void*), void (*teardown)(void*), void* data, int count, int iter) {
     int i;
-    int64_t min = INT64_MAX;
-    int64_t sum = 0;
-    int64_t max = 0;
+    double min = HUGE_VAL;
+    double sum = 0.0;
+    double max = 0.0;
     for (i = 0; i < count; i++) {
-        int64_t begin, total;
+        double begin, total;
         if (setup != NULL) {
             setup(data);
         }
-        begin = gettime_i64();
-        benchmark(data, iter);
-        total = gettime_i64() - begin;
+        begin = gettimedouble();
+        benchmark(data);
+        total = gettimedouble() - begin;
         if (teardown != NULL) {
-            teardown(data, iter);
+            teardown(data);
         }
         if (total < min) {
             min = total;
@@ -103,20 +55,22 @@ void run_benchmark(char *name, void (*benchmark)(void*, int), void (*setup)(void
         }
         sum += total;
     }
-    /* ',' is used as a column delimiter */
-    printf("%-30s, ", name);
-    print_number(min * FP_MULT / iter);
-    printf("   , ");
-    print_number(((sum * FP_MULT) / count) / iter);
-    printf("   , ");
-    print_number(max * FP_MULT / iter);
-    printf("\n");
+    printf("%s: min ", name);
+    print_number(min * 1000000.0 / iter);
+    printf("us / avg ");
+    print_number((sum / count) * 1000000.0 / iter);
+    printf("us / max ");
+    print_number(max * 1000000.0 / iter);
+    printf("us\n");
 }
 
 int have_flag(int argc, char** argv, char *flag) {
     char** argm = argv + argc;
     argv++;
-    while (argv != argm) {
+    if (argv == argm) {
+        return 1;
+    }
+    while (argv != NULL && argv != argm) {
         if (strcmp(*argv, flag) == 0) {
             return 1;
         }
@@ -125,48 +79,4 @@ int have_flag(int argc, char** argv, char *flag) {
     return 0;
 }
 
-/* takes an array containing the arguments that the user is allowed to enter on the command-line
-   returns:
-      - 1 if the user entered an invalid argument
-      - 0 if all the user entered arguments are valid */
-int have_invalid_args(int argc, char** argv, char** valid_args, size_t n) {
-    size_t i;
-    int found_valid;
-    char** argm = argv + argc;
-    argv++;
-
-    while (argv != argm) {
-        found_valid = 0;
-        for (i = 0; i < n; i++) {
-            if (strcmp(*argv, valid_args[i]) == 0) {
-                found_valid = 1; /* user entered a valid arg from the list */
-                break;
-            }
-        }
-        if (found_valid == 0) {
-            return 1; /* invalid arg found */
-        }
-        argv++;
-    }
-    return 0;
-}
-
-int get_iters(int default_iters) {
-    char* env = getenv("SECP256K1_BENCH_ITERS");
-    if (env) {
-        return strtol(env, NULL, 0);
-    } else {
-        return default_iters;
-    }
-}
-
-void print_output_table_header_row(void) {
-    char* bench_str = "Benchmark";     /* left justified */
-    char* min_str = "    Min(us)    "; /* center alignment */
-    char* avg_str = "    Avg(us)    ";
-    char* max_str = "    Max(us)    ";
-    printf("%-30s,%-15s,%-15s,%-15s\n", bench_str, min_str, avg_str, max_str);
-    printf("\n");
-}
-
 #endif /* SECP256K1_BENCH_H */

src/bench_ecdh.c

@@ -1,13 +1,15 @@
-/***********************************************************************
- * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra                   *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra                  *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
-#ifndef SECP256K1_MODULE_ECDH_BENCH_H
-#define SECP256K1_MODULE_ECDH_BENCH_H
+#include <string.h>
 
-#include "../include/secp256k1_ecdh.h"
+#include "include/secp256k1.h"
+#include "include/secp256k1_ecdh.h"
+#include "util.h"
+#include "bench.h"
 
 typedef struct {
     secp256k1_context *ctx;
@@ -26,32 +28,27 @@ static void bench_ecdh_setup(void* arg) {
         0xa2, 0xba, 0xd1, 0x84, 0xf8, 0x83, 0xc6, 0x9f
     };
 
+    /* create a context with no capabilities */
+    data->ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT);
     for (i = 0; i < 32; i++) {
         data->scalar[i] = i + 1;
     }
     CHECK(secp256k1_ec_pubkey_parse(data->ctx, &data->point, point, sizeof(point)) == 1);
 }
 
-static void bench_ecdh(void* arg, int iters) {
+static void bench_ecdh(void* arg) {
     int i;
     unsigned char res[32];
     bench_ecdh_data *data = (bench_ecdh_data*)arg;
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         CHECK(secp256k1_ecdh(data->ctx, res, &data->point, data->scalar, NULL, NULL) == 1);
     }
 }
 
-void run_ecdh_bench(int iters, int argc, char** argv) {
+int main(void) {
     bench_ecdh_data data;
-    int d = argc == 1;
 
-    /* create a context with no capabilities */
-    data.ctx = secp256k1_context_create(SECP256K1_FLAGS_TYPE_CONTEXT);
-
-    if (d || have_flag(argc, argv, "ecdh")) run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, iters);
-
-    secp256k1_context_destroy(data.ctx);
+    run_benchmark("ecdh", bench_ecdh, bench_ecdh_setup, NULL, &data, 10, 20000);
+    return 0;
 }
-
-#endif /* SECP256K1_MODULE_ECDH_BENCH_H */

src/bench_ecmult.c

@@ -1,37 +1,24 @@
-/***********************************************************************
- * Copyright (c) 2017 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2017 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 #include <stdio.h>
 
-#include "secp256k1.c"
-#include "../include/secp256k1.h"
+#include "include/secp256k1.h"
 
 #include "util.h"
 #include "hash_impl.h"
+#include "num_impl.h"
 #include "field_impl.h"
 #include "group_impl.h"
 #include "scalar_impl.h"
 #include "ecmult_impl.h"
 #include "bench.h"
+#include "secp256k1.c"
 
 #define POINTS 32768
-
-void help(char **argv) {
-    printf("Benchmark EC multiplication algorithms\n");
-    printf("\n");
-    printf("Usage: %s <help|pippenger_wnaf|strauss_wnaf|simple>\n", argv[0]);
-    printf("The output shows the number of multiplied and summed points right after the\n");
-    printf("function name. The letter 'g' indicates that one of the points is the generator.\n");
-    printf("The benchmarks are divided by the number of points.\n");
-    printf("\n");
-    printf("default (ecmult_multi): picks pippenger_wnaf or strauss_wnaf depending on the\n");
-    printf("                        batch size\n");
-    printf("pippenger_wnaf:         for all batch sizes\n");
-    printf("strauss_wnaf:           for all batch sizes\n");
-    printf("simple:                 multiply and sum each point individually\n");
-}
+#define ITERS 10000
 
 typedef struct {
     /* Setup once in advance */
@@ -39,153 +26,23 @@ typedef struct {
     secp256k1_scratch_space* scratch;
     secp256k1_scalar* scalars;
     secp256k1_ge* pubkeys;
-    secp256k1_gej* pubkeys_gej;
     secp256k1_scalar* seckeys;
     secp256k1_gej* expected_output;
     secp256k1_ecmult_multi_func ecmult_multi;
 
-    /* Changes per benchmark */
+    /* Changes per test */
     size_t count;
     int includes_g;
 
-    /* Changes per benchmark iteration, used to pick different scalars and pubkeys
-     * in each run. */
+    /* Changes per test iteration */
     size_t offset1;
     size_t offset2;
 
-    /* Benchmark output. */
+    /* Test output. */
     secp256k1_gej* output;
 } bench_data;
 
-/* Hashes x into [0, POINTS) twice and store the result in offset1 and offset2. */
-static void hash_into_offset(bench_data* data, size_t x) {
-    data->offset1 = (x * 0x537b7f6f + 0x8f66a481) % POINTS;
-    data->offset2 = (x * 0x7f6f537b + 0x6a1a8f49) % POINTS;
-}
-
-/* Check correctness of the benchmark by computing
- * sum(outputs) ?= (sum(scalars_gen) + sum(seckeys)*sum(scalars))*G */
-static void bench_ecmult_teardown_helper(bench_data* data, size_t* seckey_offset, size_t* scalar_offset, size_t* scalar_gen_offset, int iters) {
-    int i;
-    secp256k1_gej sum_output, tmp;
-    secp256k1_scalar sum_scalars;
-
-    secp256k1_gej_set_infinity(&sum_output);
-    secp256k1_scalar_clear(&sum_scalars);
-    for (i = 0; i < iters; ++i) {
-        secp256k1_gej_add_var(&sum_output, &sum_output, &data->output[i], NULL);
-        if (scalar_gen_offset != NULL) {
-            secp256k1_scalar_add(&sum_scalars, &sum_scalars, &data->scalars[(*scalar_gen_offset+i) % POINTS]);
-        }
-        if (seckey_offset != NULL) {
-            secp256k1_scalar s = data->seckeys[(*seckey_offset+i) % POINTS];
-            secp256k1_scalar_mul(&s, &s, &data->scalars[(*scalar_offset+i) % POINTS]);
-            secp256k1_scalar_add(&sum_scalars, &sum_scalars, &s);
-        }
-    }
-    secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &tmp, &sum_scalars);
-    secp256k1_gej_neg(&tmp, &tmp);
-    secp256k1_gej_add_var(&tmp, &tmp, &sum_output, NULL);
-    CHECK(secp256k1_gej_is_infinity(&tmp));
-}
-
-static void bench_ecmult_setup(void* arg) {
-    bench_data* data = (bench_data*)arg;
-    /* Re-randomize offset to ensure that we're using different scalars and
-     * group elements in each run. */
-    hash_into_offset(data, data->offset1);
-}
-
-static void bench_ecmult_gen(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    int i;
-
-    for (i = 0; i < iters; ++i) {
-        secp256k1_ecmult_gen(&data->ctx->ecmult_gen_ctx, &data->output[i], &data->scalars[(data->offset1+i) % POINTS]);
-    }
-}
-
-static void bench_ecmult_gen_teardown(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters);
-}
-
-static void bench_ecmult_const(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    int i;
-
-    for (i = 0; i < iters; ++i) {
-        secp256k1_ecmult_const(&data->output[i], &data->pubkeys[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], 256);
-    }
-}
-
-static void bench_ecmult_const_teardown(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters);
-}
-
-static void bench_ecmult_1p(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    int i;
-
-    for (i = 0; i < iters; ++i) {
-        secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], NULL);
-    }
-}
-
-static void bench_ecmult_1p_teardown(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, NULL, iters);
-}
-
-static void bench_ecmult_0p_g(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    secp256k1_scalar zero;
-    int i;
-
-    secp256k1_scalar_set_int(&zero, 0);
-    for (i = 0; i < iters; ++i) {
-        secp256k1_ecmult(&data->output[i], NULL, &zero, &data->scalars[(data->offset1+i) % POINTS]);
-    }
-}
-
-static void bench_ecmult_0p_g_teardown(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    bench_ecmult_teardown_helper(data, NULL, NULL, &data->offset1, iters);
-}
-
-static void bench_ecmult_1p_g(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    int i;
-
-    for (i = 0; i < iters/2; ++i) {
-        secp256k1_ecmult(&data->output[i], &data->pubkeys_gej[(data->offset1+i) % POINTS], &data->scalars[(data->offset2+i) % POINTS], &data->scalars[(data->offset1+i) % POINTS]);
-    }
-}
-
-static void bench_ecmult_1p_g_teardown(void* arg, int iters) {
-    bench_data* data = (bench_data*)arg;
-    bench_ecmult_teardown_helper(data, &data->offset1, &data->offset2, &data->offset1, iters/2);
-}
-
-static void run_ecmult_bench(bench_data* data, int iters) {
-    char str[32];
-    sprintf(str, "ecmult_gen");
-    run_benchmark(str, bench_ecmult_gen, bench_ecmult_setup, bench_ecmult_gen_teardown, data, 10, iters);
-    sprintf(str, "ecmult_const");
-    run_benchmark(str, bench_ecmult_const, bench_ecmult_setup, bench_ecmult_const_teardown, data, 10, iters);
-    /* ecmult with non generator point */
-    sprintf(str, "ecmult_1p");
-    run_benchmark(str, bench_ecmult_1p, bench_ecmult_setup, bench_ecmult_1p_teardown, data, 10, iters);
-    /* ecmult with generator point */
-    sprintf(str, "ecmult_0p_g");
-    run_benchmark(str, bench_ecmult_0p_g, bench_ecmult_setup, bench_ecmult_0p_g_teardown, data, 10, iters);
-    /* ecmult with generator and non-generator point. The reported time is per point. */
-    sprintf(str, "ecmult_1p_g");
-    run_benchmark(str, bench_ecmult_1p_g, bench_ecmult_setup, bench_ecmult_1p_g_teardown, data, 10, 2*iters);
-}
-
-static int bench_ecmult_multi_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) {
+static int bench_callback(secp256k1_scalar* sc, secp256k1_ge* ge, size_t idx, void* arg) {
     bench_data* data = (bench_data*)arg;
     if (data->includes_g) ++idx;
     if (idx == 0) {
@@ -198,30 +55,31 @@ static int bench_ecmult_multi_callback(secp256k1_scalar* sc, secp256k1_ge* ge, s
     return 1;
 }
 
-static void bench_ecmult_multi(void* arg, int iters) {
+static void bench_ecmult(void* arg) {
     bench_data* data = (bench_data*)arg;
 
+    size_t count = data->count;
     int includes_g = data->includes_g;
-    int iter;
-    int count = data->count;
-    iters = iters / data->count;
+    size_t iters = 1 + ITERS / count;
+    size_t iter;
 
     for (iter = 0; iter < iters; ++iter) {
-        data->ecmult_multi(&data->ctx->error_callback, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_ecmult_multi_callback, arg, count - includes_g);
+        data->ecmult_multi(&data->ctx->error_callback, &data->ctx->ecmult_ctx, data->scratch, &data->output[iter], data->includes_g ? &data->scalars[data->offset1] : NULL, bench_callback, arg, count - includes_g);
         data->offset1 = (data->offset1 + count) % POINTS;
         data->offset2 = (data->offset2 + count - 1) % POINTS;
     }
 }
 
-static void bench_ecmult_multi_setup(void* arg) {
+static void bench_ecmult_setup(void* arg) {
     bench_data* data = (bench_data*)arg;
-    hash_into_offset(data, data->count);
+    data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS;
+    data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS;
 }
 
-static void bench_ecmult_multi_teardown(void* arg, int iters) {
+static void bench_ecmult_teardown(void* arg) {
     bench_data* data = (bench_data*)arg;
-    int iter;
-    iters = iters / data->count;
+    size_t iters = 1 + ITERS / data->count;
+    size_t iter;
     /* Verify the results in teardown, to avoid doing comparisons while benchmarking. */
     for (iter = 0; iter < iters; ++iter) {
         secp256k1_gej tmp;
@@ -232,7 +90,7 @@ static void bench_ecmult_multi_teardown(void* arg, int iters) {
 
 static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) {
     secp256k1_sha256 sha256;
-    unsigned char c[10] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0};
+    unsigned char c[11] = {'e', 'c', 'm', 'u', 'l', 't', 0, 0, 0, 0};
     unsigned char buf[32];
     int overflow = 0;
     c[6] = num;
@@ -246,17 +104,18 @@ static void generate_scalar(uint32_t num, secp256k1_scalar* scalar) {
     CHECK(!overflow);
 }
 
-static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_g, int num_iters) {
+static void run_test(bench_data* data, size_t count, int includes_g) {
     char str[32];
     static const secp256k1_scalar zero = SECP256K1_SCALAR_CONST(0, 0, 0, 0, 0, 0, 0, 0);
-    size_t iters = 1 + num_iters / count;
+    size_t iters = 1 + ITERS / count;
     size_t iter;
 
     data->count = count;
     data->includes_g = includes_g;
 
     /* Compute (the negation of) the expected results directly. */
-    hash_into_offset(data, data->count);
+    data->offset1 = (data->count * 0x537b7f6f + 0x8f66a481) % POINTS;
+    data->offset2 = (data->count * 0x7f6f537b + 0x6a1a8f49) % POINTS;
     for (iter = 0; iter < iters; ++iter) {
         secp256k1_scalar tmp;
         secp256k1_scalar total = data->scalars[(data->offset1++) % POINTS];
@@ -266,34 +125,27 @@ static void run_ecmult_multi_bench(bench_data* data, size_t count, int includes_
             secp256k1_scalar_add(&total, &total, &tmp);
         }
         secp256k1_scalar_negate(&total, &total);
-        secp256k1_ecmult(&data->expected_output[iter], NULL, &zero, &total);
+        secp256k1_ecmult(&data->ctx->ecmult_ctx, &data->expected_output[iter], NULL, &zero, &total);
     }
 
     /* Run the benchmark. */
-    if (includes_g) {
-        sprintf(str, "ecmult_multi_%ip_g", (int)count - 1);
-    } else {
-        sprintf(str, "ecmult_multi_%ip", (int)count);
-    }
-    run_benchmark(str, bench_ecmult_multi, bench_ecmult_multi_setup, bench_ecmult_multi_teardown, data, 10, count * iters);
+    sprintf(str, includes_g ? "ecmult_%ig" : "ecmult_%i", (int)count);
+    run_benchmark(str, bench_ecmult, bench_ecmult_setup, bench_ecmult_teardown, data, 10, count * (1 + ITERS / count));
 }
 
 int main(int argc, char **argv) {
     bench_data data;
     int i, p;
+    secp256k1_gej* pubkeys_gej;
     size_t scratch_size;
 
-    int iters = get_iters(10000);
-
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+    scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16;
+    data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size);
     data.ecmult_multi = secp256k1_ecmult_multi_var;
 
     if (argc > 1) {
-        if(have_flag(argc, argv, "-h")
-           || have_flag(argc, argv, "--help")
-           || have_flag(argc, argv, "help")) {
-            help(argv);
-            return 0;
-        } else if(have_flag(argc, argv, "pippenger_wnaf")) {
+        if(have_flag(argc, argv, "pippenger_wnaf")) {
             printf("Using pippenger_wnaf:\n");
             data.ecmult_multi = secp256k1_ecmult_pippenger_batch_single;
         } else if(have_flag(argc, argv, "strauss_wnaf")) {
@@ -301,69 +153,52 @@ int main(int argc, char **argv) {
             data.ecmult_multi = secp256k1_ecmult_strauss_batch_single;
         } else if(have_flag(argc, argv, "simple")) {
             printf("Using simple algorithm:\n");
+            data.ecmult_multi = secp256k1_ecmult_multi_var;
+            secp256k1_scratch_space_destroy(data.ctx, data.scratch);
+            data.scratch = NULL;
         } else {
-            fprintf(stderr, "%s: unrecognized argument '%s'.\n\n", argv[0], argv[1]);
-            help(argv);
+            fprintf(stderr, "%s: unrecognized argument '%s'.\n", argv[0], argv[1]);
+            fprintf(stderr, "Use 'pippenger_wnaf', 'strauss_wnaf', 'simple' or no argument to benchmark a combined algorithm.\n");
             return 1;
         }
     }
 
-    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
-    scratch_size = secp256k1_strauss_scratch_size(POINTS) + STRAUSS_SCRATCH_OBJECTS*16;
-    if (!have_flag(argc, argv, "simple")) {
-        data.scratch = secp256k1_scratch_space_create(data.ctx, scratch_size);
-    } else {
-        data.scratch = NULL;
-    }
-
     /* Allocate stuff */
     data.scalars = malloc(sizeof(secp256k1_scalar) * POINTS);
     data.seckeys = malloc(sizeof(secp256k1_scalar) * POINTS);
     data.pubkeys = malloc(sizeof(secp256k1_ge) * POINTS);
-    data.pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS);
-    data.expected_output = malloc(sizeof(secp256k1_gej) * (iters + 1));
-    data.output = malloc(sizeof(secp256k1_gej) * (iters + 1));
+    data.expected_output = malloc(sizeof(secp256k1_gej) * (ITERS + 1));
+    data.output = malloc(sizeof(secp256k1_gej) * (ITERS + 1));
 
     /* Generate a set of scalars, and private/public keypairs. */
-    secp256k1_gej_set_ge(&data.pubkeys_gej[0], &secp256k1_ge_const_g);
+    pubkeys_gej = malloc(sizeof(secp256k1_gej) * POINTS);
+    secp256k1_gej_set_ge(&pubkeys_gej[0], &secp256k1_ge_const_g);
     secp256k1_scalar_set_int(&data.seckeys[0], 1);
     for (i = 0; i < POINTS; ++i) {
         generate_scalar(i, &data.scalars[i]);
         if (i) {
-            secp256k1_gej_double_var(&data.pubkeys_gej[i], &data.pubkeys_gej[i - 1], NULL);
+            secp256k1_gej_double_var(&pubkeys_gej[i], &pubkeys_gej[i - 1], NULL);
             secp256k1_scalar_add(&data.seckeys[i], &data.seckeys[i - 1], &data.seckeys[i - 1]);
         }
     }
-    secp256k1_ge_set_all_gej_var(data.pubkeys, data.pubkeys_gej, POINTS);
-
-
-    print_output_table_header_row();
-    /* Initialize offset1 and offset2 */
-    hash_into_offset(&data, 0);
-    run_ecmult_bench(&data, iters);
+    secp256k1_ge_set_all_gej_var(data.pubkeys, pubkeys_gej, POINTS);
+    free(pubkeys_gej);
 
     for (i = 1; i <= 8; ++i) {
-        run_ecmult_multi_bench(&data, i, 1, iters);
+        run_test(&data, i, 1);
     }
 
-    /* This is disabled with low count of iterations because the loop runs 77 times even with iters=1
-    * and the higher it goes the longer the computation takes(more points)
-    * So we don't run this benchmark with low iterations to prevent slow down */
-     if (iters > 2) {
-        for (p = 0; p <= 11; ++p) {
-            for (i = 9; i <= 16; ++i) {
-                run_ecmult_multi_bench(&data, i << p, 1, iters);
-            }
+    for (p = 0; p <= 11; ++p) {
+        for (i = 9; i <= 16; ++i) {
+            run_test(&data, i << p, 1);
         }
     }
-
     if (data.scratch != NULL) {
         secp256k1_scratch_space_destroy(data.ctx, data.scratch);
     }
     secp256k1_context_destroy(data.ctx);
     free(data.scalars);
     free(data.pubkeys);
-    free(data.pubkeys_gej);
     free(data.seckeys);
     free(data.output);
     free(data.expected_output);

src/bench_generator.c

@@ -23,22 +23,22 @@ static void bench_generator_setup(void* arg) {
     memset(data->blind, 0x13, 32);
 }
 
-static void bench_generator_generate(void* arg, int iters) {
+static void bench_generator_generate(void* arg) {
     int i;
     bench_generator_t *data = (bench_generator_t*)arg;
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         secp256k1_generator gen;
         CHECK(secp256k1_generator_generate(data->ctx, &gen, data->key));
         data->key[i & 31]++;
     }
 }
 
-static void bench_generator_generate_blinded(void* arg, int iters) {
+static void bench_generator_generate_blinded(void* arg) {
     int i;
     bench_generator_t *data = (bench_generator_t*)arg;
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         secp256k1_generator gen;
         CHECK(secp256k1_generator_generate_blinded(data->ctx, &gen, data->key, data->blind));
         data->key[1 + (i & 30)]++;
@@ -48,12 +48,11 @@ static void bench_generator_generate_blinded(void* arg, int iters) {
 
 int main(void) {
     bench_generator_t data;
-    int iters = get_iters(20000);
 
     data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
 
-    run_benchmark("generator_generate", bench_generator_generate, bench_generator_setup, NULL, &data, 10, iters);
-    run_benchmark("generator_generate_blinded", bench_generator_generate_blinded, bench_generator_setup, NULL, &data, 10, iters);
+    run_benchmark("generator_generate", bench_generator_generate, bench_generator_setup, NULL, &data, 10, 20000);
+    run_benchmark("generator_generate_blinded", bench_generator_generate_blinded, bench_generator_setup, NULL, &data, 10, 20000);
 
     secp256k1_context_destroy(data.ctx);
     return 0;

src/bench_internal.c

@@ -1,28 +1,28 @@
-/***********************************************************************
- * Copyright (c) 2014-2015 Pieter Wuille                               *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014-2015 Pieter Wuille                              *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 #include <stdio.h>
 
-#include "secp256k1.c"
-#include "../include/secp256k1.h"
+#include "include/secp256k1.h"
 
-#include "assumptions.h"
 #include "util.h"
 #include "hash_impl.h"
+#include "num_impl.h"
 #include "field_impl.h"
 #include "group_impl.h"
 #include "scalar_impl.h"
 #include "ecmult_const_impl.h"
 #include "ecmult_impl.h"
 #include "bench.h"
+#include "secp256k1.c"
 
 typedef struct {
-    secp256k1_scalar scalar[2];
-    secp256k1_fe fe[4];
-    secp256k1_ge ge[2];
-    secp256k1_gej gej[2];
+    secp256k1_scalar scalar_x, scalar_y;
+    secp256k1_fe fe_x, fe_y;
+    secp256k1_ge ge_x, ge_y;
+    secp256k1_gej gej_x, gej_y;
     unsigned char data[64];
     int wnaf[256];
 } bench_inv;
@@ -30,382 +30,340 @@ typedef struct {
 void bench_setup(void* arg) {
     bench_inv *data = (bench_inv*)arg;
 
-    static const unsigned char init[4][32] = {
-        /* Initializer for scalar[0], fe[0], first half of data, the X coordinate of ge[0],
-           and the (implied affine) X coordinate of gej[0]. */
-        {
-            0x02, 0x03, 0x05, 0x07, 0x0b, 0x0d, 0x11, 0x13,
-            0x17, 0x1d, 0x1f, 0x25, 0x29, 0x2b, 0x2f, 0x35,
-            0x3b, 0x3d, 0x43, 0x47, 0x49, 0x4f, 0x53, 0x59,
-            0x61, 0x65, 0x67, 0x6b, 0x6d, 0x71, 0x7f, 0x83
-        },
-        /* Initializer for scalar[1], fe[1], first half of data, the X coordinate of ge[1],
-           and the (implied affine) X coordinate of gej[1]. */
-        {
-            0x82, 0x83, 0x85, 0x87, 0x8b, 0x8d, 0x81, 0x83,
-            0x97, 0xad, 0xaf, 0xb5, 0xb9, 0xbb, 0xbf, 0xc5,
-            0xdb, 0xdd, 0xe3, 0xe7, 0xe9, 0xef, 0xf3, 0xf9,
-            0x11, 0x15, 0x17, 0x1b, 0x1d, 0xb1, 0xbf, 0xd3
-        },
-        /* Initializer for fe[2] and the Z coordinate of gej[0]. */
-        {
-            0x3d, 0x2d, 0xef, 0xf4, 0x25, 0x98, 0x4f, 0x5d,
-            0xe2, 0xca, 0x5f, 0x41, 0x3f, 0x3f, 0xce, 0x44,
-            0xaa, 0x2c, 0x53, 0x8a, 0xc6, 0x59, 0x1f, 0x38,
-            0x38, 0x23, 0xe4, 0x11, 0x27, 0xc6, 0xa0, 0xe7
-        },
-        /* Initializer for fe[3] and the Z coordinate of gej[1]. */
-        {
-            0xbd, 0x21, 0xa5, 0xe1, 0x13, 0x50, 0x73, 0x2e,
-            0x52, 0x98, 0xc8, 0x9e, 0xab, 0x00, 0xa2, 0x68,
-            0x43, 0xf5, 0xd7, 0x49, 0x80, 0x72, 0xa7, 0xf3,
-            0xd7, 0x60, 0xe6, 0xab, 0x90, 0x92, 0xdf, 0xc5
-        }
+    static const unsigned char init_x[32] = {
+        0x02, 0x03, 0x05, 0x07, 0x0b, 0x0d, 0x11, 0x13,
+        0x17, 0x1d, 0x1f, 0x25, 0x29, 0x2b, 0x2f, 0x35,
+        0x3b, 0x3d, 0x43, 0x47, 0x49, 0x4f, 0x53, 0x59,
+        0x61, 0x65, 0x67, 0x6b, 0x6d, 0x71, 0x7f, 0x83
     };
 
-    secp256k1_scalar_set_b32(&data->scalar[0], init[0], NULL);
-    secp256k1_scalar_set_b32(&data->scalar[1], init[1], NULL);
-    secp256k1_fe_set_b32(&data->fe[0], init[0]);
-    secp256k1_fe_set_b32(&data->fe[1], init[1]);
-    secp256k1_fe_set_b32(&data->fe[2], init[2]);
-    secp256k1_fe_set_b32(&data->fe[3], init[3]);
-    CHECK(secp256k1_ge_set_xo_var(&data->ge[0], &data->fe[0], 0));
-    CHECK(secp256k1_ge_set_xo_var(&data->ge[1], &data->fe[1], 1));
-    secp256k1_gej_set_ge(&data->gej[0], &data->ge[0]);
-    secp256k1_gej_rescale(&data->gej[0], &data->fe[2]);
-    secp256k1_gej_set_ge(&data->gej[1], &data->ge[1]);
-    secp256k1_gej_rescale(&data->gej[1], &data->fe[3]);
-    memcpy(data->data, init[0], 32);
-    memcpy(data->data + 32, init[1], 32);
+    static const unsigned char init_y[32] = {
+        0x82, 0x83, 0x85, 0x87, 0x8b, 0x8d, 0x81, 0x83,
+        0x97, 0xad, 0xaf, 0xb5, 0xb9, 0xbb, 0xbf, 0xc5,
+        0xdb, 0xdd, 0xe3, 0xe7, 0xe9, 0xef, 0xf3, 0xf9,
+        0x11, 0x15, 0x17, 0x1b, 0x1d, 0xb1, 0xbf, 0xd3
+    };
+
+    secp256k1_scalar_set_b32(&data->scalar_x, init_x, NULL);
+    secp256k1_scalar_set_b32(&data->scalar_y, init_y, NULL);
+    secp256k1_fe_set_b32(&data->fe_x, init_x);
+    secp256k1_fe_set_b32(&data->fe_y, init_y);
+    CHECK(secp256k1_ge_set_xo_var(&data->ge_x, &data->fe_x, 0));
+    CHECK(secp256k1_ge_set_xo_var(&data->ge_y, &data->fe_y, 1));
+    secp256k1_gej_set_ge(&data->gej_x, &data->ge_x);
+    secp256k1_gej_set_ge(&data->gej_y, &data->ge_y);
+    memcpy(data->data, init_x, 32);
+    memcpy(data->data + 32, init_y, 32);
 }
 
-void bench_scalar_add(void* arg, int iters) {
-    int i, j = 0;
-    bench_inv *data = (bench_inv*)arg;
-
-    for (i = 0; i < iters; i++) {
-        j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
-    }
-    CHECK(j <= iters);
-}
-
-void bench_scalar_negate(void* arg, int iters) {
+void bench_scalar_add(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_scalar_negate(&data->scalar[0], &data->scalar[0]);
+    for (i = 0; i < 2000000; i++) {
+        secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
 }
 
-void bench_scalar_mul(void* arg, int iters) {
+void bench_scalar_negate(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_scalar_mul(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
+    for (i = 0; i < 2000000; i++) {
+        secp256k1_scalar_negate(&data->scalar_x, &data->scalar_x);
     }
 }
 
-void bench_scalar_split(void* arg, int iters) {
-    int i, j = 0;
-    bench_inv *data = (bench_inv*)arg;
-
-    for (i = 0; i < iters; i++) {
-        secp256k1_scalar_split_lambda(&data->scalar[0], &data->scalar[1], &data->scalar[0]);
-        j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
-    }
-    CHECK(j <= iters);
-}
-
-void bench_scalar_inverse(void* arg, int iters) {
-    int i, j = 0;
-    bench_inv *data = (bench_inv*)arg;
-
-    for (i = 0; i < iters; i++) {
-        secp256k1_scalar_inverse(&data->scalar[0], &data->scalar[0]);
-        j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
-    }
-    CHECK(j <= iters);
-}
-
-void bench_scalar_inverse_var(void* arg, int iters) {
-    int i, j = 0;
-    bench_inv *data = (bench_inv*)arg;
-
-    for (i = 0; i < iters; i++) {
-        secp256k1_scalar_inverse_var(&data->scalar[0], &data->scalar[0]);
-        j += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
-    }
-    CHECK(j <= iters);
-}
-
-void bench_field_half(void* arg, int iters) {
+void bench_scalar_sqr(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_half(&data->fe[0]);
+    for (i = 0; i < 200000; i++) {
+        secp256k1_scalar_sqr(&data->scalar_x, &data->scalar_x);
     }
 }
 
-void bench_field_normalize(void* arg, int iters) {
+void bench_scalar_mul(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_normalize(&data->fe[0]);
+    for (i = 0; i < 200000; i++) {
+        secp256k1_scalar_mul(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
 }
 
-void bench_field_normalize_weak(void* arg, int iters) {
+#ifdef USE_ENDOMORPHISM
+void bench_scalar_split(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_normalize_weak(&data->fe[0]);
+    for (i = 0; i < 20000; i++) {
+        secp256k1_scalar l, r;
+        secp256k1_scalar_split_lambda(&l, &r, &data->scalar_x);
+        secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
 }
+#endif
 
-void bench_field_mul(void* arg, int iters) {
+void bench_scalar_inverse(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_mul(&data->fe[0], &data->fe[0], &data->fe[1]);
+    for (i = 0; i < 2000; i++) {
+        secp256k1_scalar_inverse(&data->scalar_x, &data->scalar_x);
+        secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
 }
 
-void bench_field_sqr(void* arg, int iters) {
+void bench_scalar_inverse_var(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_sqr(&data->fe[0], &data->fe[0]);
+    for (i = 0; i < 2000; i++) {
+        secp256k1_scalar_inverse_var(&data->scalar_x, &data->scalar_x);
+        secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
 }
 
-void bench_field_inverse(void* arg, int iters) {
+void bench_field_normalize(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_inv(&data->fe[0], &data->fe[0]);
-        secp256k1_fe_add(&data->fe[0], &data->fe[1]);
+    for (i = 0; i < 2000000; i++) {
+        secp256k1_fe_normalize(&data->fe_x);
     }
 }
 
-void bench_field_inverse_var(void* arg, int iters) {
+void bench_field_normalize_weak(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_fe_inv_var(&data->fe[0], &data->fe[0]);
-        secp256k1_fe_add(&data->fe[0], &data->fe[1]);
+    for (i = 0; i < 2000000; i++) {
+        secp256k1_fe_normalize_weak(&data->fe_x);
     }
 }
 
-void bench_field_sqrt(void* arg, int iters) {
-    int i, j = 0;
+void bench_field_mul(void* arg) {
+    int i;
+    bench_inv *data = (bench_inv*)arg;
+
+    for (i = 0; i < 200000; i++) {
+        secp256k1_fe_mul(&data->fe_x, &data->fe_x, &data->fe_y);
+    }
+}
+
+void bench_field_sqr(void* arg) {
+    int i;
+    bench_inv *data = (bench_inv*)arg;
+
+    for (i = 0; i < 200000; i++) {
+        secp256k1_fe_sqr(&data->fe_x, &data->fe_x);
+    }
+}
+
+void bench_field_inverse(void* arg) {
+    int i;
+    bench_inv *data = (bench_inv*)arg;
+
+    for (i = 0; i < 20000; i++) {
+        secp256k1_fe_inv(&data->fe_x, &data->fe_x);
+        secp256k1_fe_add(&data->fe_x, &data->fe_y);
+    }
+}
+
+void bench_field_inverse_var(void* arg) {
+    int i;
+    bench_inv *data = (bench_inv*)arg;
+
+    for (i = 0; i < 20000; i++) {
+        secp256k1_fe_inv_var(&data->fe_x, &data->fe_x);
+        secp256k1_fe_add(&data->fe_x, &data->fe_y);
+    }
+}
+
+void bench_field_sqrt(void* arg) {
+    int i;
     bench_inv *data = (bench_inv*)arg;
     secp256k1_fe t;
 
-    for (i = 0; i < iters; i++) {
-        t = data->fe[0];
-        j += secp256k1_fe_sqrt(&data->fe[0], &t);
-        secp256k1_fe_add(&data->fe[0], &data->fe[1]);
+    for (i = 0; i < 20000; i++) {
+        t = data->fe_x;
+        secp256k1_fe_sqrt(&data->fe_x, &t);
+        secp256k1_fe_add(&data->fe_x, &data->fe_y);
     }
-    CHECK(j <= iters);
 }
 
-void bench_group_double_var(void* arg, int iters) {
+void bench_group_double_var(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_gej_double_var(&data->gej[0], &data->gej[0], NULL);
+    for (i = 0; i < 200000; i++) {
+        secp256k1_gej_double_var(&data->gej_x, &data->gej_x, NULL);
     }
 }
 
-void bench_group_add_var(void* arg, int iters) {
+void bench_group_add_var(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_gej_add_var(&data->gej[0], &data->gej[0], &data->gej[1], NULL);
+    for (i = 0; i < 200000; i++) {
+        secp256k1_gej_add_var(&data->gej_x, &data->gej_x, &data->gej_y, NULL);
     }
 }
 
-void bench_group_add_affine(void* arg, int iters) {
+void bench_group_add_affine(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_gej_add_ge(&data->gej[0], &data->gej[0], &data->ge[1]);
+    for (i = 0; i < 200000; i++) {
+        secp256k1_gej_add_ge(&data->gej_x, &data->gej_x, &data->ge_y);
     }
 }
 
-void bench_group_add_affine_var(void* arg, int iters) {
+void bench_group_add_affine_var(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        secp256k1_gej_add_ge_var(&data->gej[0], &data->gej[0], &data->ge[1], NULL);
+    for (i = 0; i < 200000; i++) {
+        secp256k1_gej_add_ge_var(&data->gej_x, &data->gej_x, &data->ge_y, NULL);
     }
 }
 
-void bench_group_jacobi_var(void* arg, int iters) {
-    int i, j = 0;
-    bench_inv *data = (bench_inv*)arg;
-
-    for (i = 0; i < iters; i++) {
-        j += secp256k1_gej_has_quad_y_var(&data->gej[0]);
-        /* Vary the Y and Z coordinates of the input (the X coordinate doesn't matter to
-           secp256k1_gej_has_quad_y_var). Note that the resulting coordinates will
-           generally not correspond to a point on the curve, but this is not a problem
-           for the code being benchmarked here. Adding and normalizing have less
-           overhead than EC operations (which could guarantee the point remains on the
-           curve). */
-        secp256k1_fe_add(&data->gej[0].y, &data->fe[1]);
-        secp256k1_fe_add(&data->gej[0].z, &data->fe[2]);
-        secp256k1_fe_normalize_var(&data->gej[0].y);
-        secp256k1_fe_normalize_var(&data->gej[0].z);
-    }
-    CHECK(j <= iters);
-}
-
-void bench_group_to_affine_var(void* arg, int iters) {
+void bench_group_jacobi_var(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; ++i) {
-        secp256k1_ge_set_gej_var(&data->ge[1], &data->gej[0]);
-        /* Use the output affine X/Y coordinates to vary the input X/Y/Z coordinates.
-           Similar to bench_group_jacobi_var, this approach does not result in
-           coordinates of points on the curve. */
-        secp256k1_fe_add(&data->gej[0].x, &data->ge[1].y);
-        secp256k1_fe_add(&data->gej[0].y, &data->fe[2]);
-        secp256k1_fe_add(&data->gej[0].z, &data->ge[1].x);
-        secp256k1_fe_normalize_var(&data->gej[0].x);
-        secp256k1_fe_normalize_var(&data->gej[0].y);
-        secp256k1_fe_normalize_var(&data->gej[0].z);
+    for (i = 0; i < 20000; i++) {
+        secp256k1_gej_has_quad_y_var(&data->gej_x);
     }
 }
 
-void bench_ecmult_wnaf(void* arg, int iters) {
-    int i, bits = 0, overflow = 0;
+void bench_ecmult_wnaf(void* arg) {
+    int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        bits += secp256k1_ecmult_wnaf(data->wnaf, 256, &data->scalar[0], WINDOW_A);
-        overflow += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
+    for (i = 0; i < 20000; i++) {
+        secp256k1_ecmult_wnaf(data->wnaf, 256, &data->scalar_x, WINDOW_A);
+        secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
-    CHECK(overflow >= 0);
-    CHECK(bits <= 256*iters);
 }
 
-void bench_wnaf_const(void* arg, int iters) {
-    int i, bits = 0, overflow = 0;
+void bench_wnaf_const(void* arg) {
+    int i;
     bench_inv *data = (bench_inv*)arg;
 
-    for (i = 0; i < iters; i++) {
-        bits += secp256k1_wnaf_const(data->wnaf, &data->scalar[0], WINDOW_A, 256);
-        overflow += secp256k1_scalar_add(&data->scalar[0], &data->scalar[0], &data->scalar[1]);
+    for (i = 0; i < 20000; i++) {
+        secp256k1_wnaf_const(data->wnaf, &data->scalar_x, WINDOW_A, 256);
+        secp256k1_scalar_add(&data->scalar_x, &data->scalar_x, &data->scalar_y);
     }
-    CHECK(overflow >= 0);
-    CHECK(bits <= 256*iters);
 }
 
 
-void bench_sha256(void* arg, int iters) {
+void bench_sha256(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
     secp256k1_sha256 sha;
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         secp256k1_sha256_initialize(&sha);
         secp256k1_sha256_write(&sha, data->data, 32);
         secp256k1_sha256_finalize(&sha, data->data);
     }
 }
 
-void bench_hmac_sha256(void* arg, int iters) {
+void bench_hmac_sha256(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
     secp256k1_hmac_sha256 hmac;
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         secp256k1_hmac_sha256_initialize(&hmac, data->data, 32);
         secp256k1_hmac_sha256_write(&hmac, data->data, 32);
         secp256k1_hmac_sha256_finalize(&hmac, data->data);
     }
 }
 
-void bench_rfc6979_hmac_sha256(void* arg, int iters) {
+void bench_rfc6979_hmac_sha256(void* arg) {
     int i;
     bench_inv *data = (bench_inv*)arg;
     secp256k1_rfc6979_hmac_sha256 rng;
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         secp256k1_rfc6979_hmac_sha256_initialize(&rng, data->data, 64);
         secp256k1_rfc6979_hmac_sha256_generate(&rng, data->data, 32);
     }
 }
 
-void bench_context_verify(void* arg, int iters) {
+void bench_context_verify(void* arg) {
     int i;
     (void)arg;
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20; i++) {
         secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_VERIFY));
     }
 }
 
-void bench_context_sign(void* arg, int iters) {
+void bench_context_sign(void* arg) {
     int i;
     (void)arg;
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 200; i++) {
         secp256k1_context_destroy(secp256k1_context_create(SECP256K1_CONTEXT_SIGN));
     }
 }
 
+#ifndef USE_NUM_NONE
+void bench_num_jacobi(void* arg) {
+    int i;
+    bench_inv *data = (bench_inv*)arg;
+    secp256k1_num nx, norder;
+
+    secp256k1_scalar_get_num(&nx, &data->scalar_x);
+    secp256k1_scalar_order_get_num(&norder);
+    secp256k1_scalar_get_num(&norder, &data->scalar_y);
+
+    for (i = 0; i < 200000; i++) {
+        secp256k1_num_jacobi(&nx, &norder);
+    }
+}
+#endif
+
 int main(int argc, char **argv) {
     bench_inv data;
-    int iters = get_iters(20000);
-    int d = argc == 1; /* default */
-    print_output_table_header_row();
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, 2000000);
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, 2000000);
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "sqr")) run_benchmark("scalar_sqr", bench_scalar_sqr, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, 200000);
+#ifdef USE_ENDOMORPHISM
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "split")) run_benchmark("scalar_split", bench_scalar_split, bench_setup, NULL, &data, 10, 20000);
+#endif
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse", bench_scalar_inverse, bench_setup, NULL, &data, 10, 2000);
+    if (have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse_var", bench_scalar_inverse_var, bench_setup, NULL, &data, 10, 2000);
 
-    if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "add")) run_benchmark("scalar_add", bench_scalar_add, bench_setup, NULL, &data, 10, iters*100);
-    if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "negate")) run_benchmark("scalar_negate", bench_scalar_negate, bench_setup, NULL, &data, 10, iters*100);
-    if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "mul")) run_benchmark("scalar_mul", bench_scalar_mul, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "split")) run_benchmark("scalar_split", bench_scalar_split, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse", bench_scalar_inverse, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "scalar") || have_flag(argc, argv, "inverse")) run_benchmark("scalar_inverse_var", bench_scalar_inverse_var, bench_setup, NULL, &data, 10, iters);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize", bench_field_normalize, bench_setup, NULL, &data, 10, 2000000);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize_weak", bench_field_normalize_weak, bench_setup, NULL, &data, 10, 2000000);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqr")) run_benchmark("field_sqr", bench_field_sqr, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, 20000);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, 20000);
+    if (have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, 20000);
 
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "half")) run_benchmark("field_half", bench_field_half, bench_setup, NULL, &data, 10, iters*100);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize", bench_field_normalize, bench_setup, NULL, &data, 10, iters*100);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "normalize")) run_benchmark("field_normalize_weak", bench_field_normalize_weak, bench_setup, NULL, &data, 10, iters*100);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqr")) run_benchmark("field_sqr", bench_field_sqr, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "mul")) run_benchmark("field_mul", bench_field_mul, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse", bench_field_inverse, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "inverse")) run_benchmark("field_inverse_var", bench_field_inverse_var, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "field") || have_flag(argc, argv, "sqrt")) run_benchmark("field_sqrt", bench_field_sqrt, bench_setup, NULL, &data, 10, iters);
+    if (have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, 200000);
+    if (have_flag(argc, argv, "group") || have_flag(argc, argv, "jacobi")) run_benchmark("group_jacobi_var", bench_group_jacobi_var, bench_setup, NULL, &data, 10, 20000);
 
-    if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "double")) run_benchmark("group_double_var", bench_group_double_var, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_var", bench_group_add_var, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine", bench_group_add_affine, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "add")) run_benchmark("group_add_affine_var", bench_group_add_affine_var, bench_setup, NULL, &data, 10, iters*10);
-    if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "jacobi")) run_benchmark("group_jacobi_var", bench_group_jacobi_var, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "group") || have_flag(argc, argv, "to_affine")) run_benchmark("group_to_affine_var", bench_group_to_affine_var, bench_setup, NULL, &data, 10, iters);
+    if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, 20000);
+    if (have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, 20000);
 
-    if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("wnaf_const", bench_wnaf_const, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "ecmult") || have_flag(argc, argv, "wnaf")) run_benchmark("ecmult_wnaf", bench_ecmult_wnaf, bench_setup, NULL, &data, 10, iters);
+    if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, 20000);
+    if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, 20000);
+    if (have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, 20000);
 
-    if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "sha256")) run_benchmark("hash_sha256", bench_sha256, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "hmac")) run_benchmark("hash_hmac_sha256", bench_hmac_sha256, bench_setup, NULL, &data, 10, iters);
-    if (d || have_flag(argc, argv, "hash") || have_flag(argc, argv, "rng6979")) run_benchmark("hash_rfc6979_hmac_sha256", bench_rfc6979_hmac_sha256, bench_setup, NULL, &data, 10, iters);
-
-    if (d || have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 1 + iters/1000);
-    if (d || have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 1 + iters/100);
+    if (have_flag(argc, argv, "context") || have_flag(argc, argv, "verify")) run_benchmark("context_verify", bench_context_verify, bench_setup, NULL, &data, 10, 20);
+    if (have_flag(argc, argv, "context") || have_flag(argc, argv, "sign")) run_benchmark("context_sign", bench_context_sign, bench_setup, NULL, &data, 10, 200);
 
+#ifndef USE_NUM_NONE
+    if (have_flag(argc, argv, "num") || have_flag(argc, argv, "jacobi")) run_benchmark("num_jacobi", bench_num_jacobi, bench_setup, NULL, &data, 10, 200000);
+#endif
     return 0;
 }

src/bench_rangeproof.c

@@ -34,11 +34,11 @@ static void bench_rangeproof_setup(void* arg) {
     CHECK(secp256k1_rangeproof_verify(data->ctx, &minv, &maxv, &data->commit, data->proof, data->len, NULL, 0, secp256k1_generator_h));
 }
 
-static void bench_rangeproof(void* arg, int iters) {
+static void bench_rangeproof(void* arg) {
     int i;
     bench_rangeproof_t *data = (bench_rangeproof_t*)arg;
 
-    for (i = 0; i < iters/data->min_bits; i++) {
+    for (i = 0; i < 1000; i++) {
         int j;
         uint64_t minv;
         uint64_t maxv;
@@ -51,14 +51,12 @@ static void bench_rangeproof(void* arg, int iters) {
 
 int main(void) {
     bench_rangeproof_t data;
-    int iters;
 
     data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
 
     data.min_bits = 32;
-    iters = data.min_bits*get_iters(32);
 
-    run_benchmark("rangeproof_verify_bit", bench_rangeproof, bench_rangeproof_setup, NULL, &data, 10, iters);
+    run_benchmark("rangeproof_verify_bit", bench_rangeproof, bench_rangeproof_setup, NULL, &data, 10, 1000 * data.min_bits);
 
     secp256k1_context_destroy(data.ctx);
     return 0;

src/bench_recover.c

@@ -1,13 +1,13 @@
-/***********************************************************************
- * Copyright (c) 2014-2015 Pieter Wuille                               *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014-2015 Pieter Wuille                              *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
-#ifndef SECP256K1_MODULE_RECOVERY_BENCH_H
-#define SECP256K1_MODULE_RECOVERY_BENCH_H
-
-#include "../include/secp256k1_recovery.h"
+#include "include/secp256k1.h"
+#include "include/secp256k1_recovery.h"
+#include "util.h"
+#include "bench.h"
 
 typedef struct {
     secp256k1_context *ctx;
@@ -15,13 +15,13 @@ typedef struct {
     unsigned char sig[64];
 } bench_recover_data;
 
-void bench_recover(void* arg, int iters) {
+void bench_recover(void* arg) {
     int i;
     bench_recover_data *data = (bench_recover_data*)arg;
     secp256k1_pubkey pubkey;
     unsigned char pubkeyc[33];
 
-    for (i = 0; i < iters; i++) {
+    for (i = 0; i < 20000; i++) {
         int j;
         size_t pubkeylen = 33;
         secp256k1_ecdsa_recoverable_signature sig;
@@ -48,15 +48,13 @@ void bench_recover_setup(void* arg) {
     }
 }
 
-void run_recovery_bench(int iters, int argc, char** argv) {
+int main(void) {
     bench_recover_data data;
-    int d = argc == 1;
 
     data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY);
 
-    if (d || have_flag(argc, argv, "ecdsa") || have_flag(argc, argv, "recover") || have_flag(argc, argv, "ecdsa_recover")) run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, iters);
+    run_benchmark("ecdsa_recover", bench_recover, bench_recover_setup, NULL, &data, 10, 20000);
 
     secp256k1_context_destroy(data.ctx);
+    return 0;
 }
-
-#endif /* SECP256K1_MODULE_RECOVERY_BENCH_H */

src/bench_schnorrsig.c

@@ -0,0 +1,128 @@
+/**********************************************************************
+ * Copyright (c) 2018 Andrew Poelstra                                 *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include <string.h>
+#include <stdlib.h>
+
+#include "include/secp256k1.h"
+#include "include/secp256k1_schnorrsig.h"
+#include "util.h"
+#include "bench.h"
+
+#define MAX_SIGS	(32768)
+
+typedef struct {
+    secp256k1_context *ctx;
+    secp256k1_scratch_space *scratch;
+    size_t n;
+    const unsigned char **pk;
+    const secp256k1_schnorrsig **sigs;
+    const unsigned char **msgs;
+} bench_schnorrsig_data;
+
+void bench_schnorrsig_sign(void* arg) {
+    bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg;
+    size_t i;
+    unsigned char sk[32] = "benchmarkexample secrettemplate";
+    unsigned char msg[32] = "benchmarkexamplemessagetemplate";
+    secp256k1_schnorrsig sig;
+
+    for (i = 0; i < 1000; i++) {
+        msg[0] = i;
+        msg[1] = i >> 8;
+        sk[0] = i;
+        sk[1] = i >> 8;
+        CHECK(secp256k1_schnorrsig_sign(data->ctx, &sig, NULL, msg, sk, NULL, NULL));
+    }
+}
+
+void bench_schnorrsig_verify(void* arg) {
+    bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg;
+    size_t i;
+
+    for (i = 0; i < 1000; i++) {
+        secp256k1_pubkey pk;
+        CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pk, data->pk[i], 33) == 1);
+        CHECK(secp256k1_schnorrsig_verify(data->ctx, data->sigs[i], data->msgs[i], &pk));
+    }
+}
+
+void bench_schnorrsig_verify_n(void* arg) {
+    bench_schnorrsig_data *data = (bench_schnorrsig_data *)arg;
+    size_t i, j;
+    const secp256k1_pubkey **pk = (const secp256k1_pubkey **)malloc(data->n * sizeof(*pk));
+
+    CHECK(pk != NULL);
+    for (j = 0; j < MAX_SIGS/data->n; j++) {
+        for (i = 0; i < data->n; i++) {
+            secp256k1_pubkey *pk_nonconst = (secp256k1_pubkey *)malloc(sizeof(*pk_nonconst));
+            CHECK(secp256k1_ec_pubkey_parse(data->ctx, pk_nonconst, data->pk[i], 33) == 1);
+            pk[i] = pk_nonconst;
+        }
+        CHECK(secp256k1_schnorrsig_verify_batch(data->ctx, data->scratch, data->sigs, data->msgs, pk, data->n));
+        for (i = 0; i < data->n; i++) {
+            free((void *)pk[i]);
+        }
+    }
+    free(pk);
+}
+
+int main(void) {
+    size_t i;
+    bench_schnorrsig_data data;
+
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_VERIFY | SECP256K1_CONTEXT_SIGN);
+    data.scratch = secp256k1_scratch_space_create(data.ctx, 1024 * 1024 * 1024);
+    data.pk = (const unsigned char **)malloc(MAX_SIGS * sizeof(unsigned char *));
+    data.msgs = (const unsigned char **)malloc(MAX_SIGS * sizeof(unsigned char *));
+    data.sigs = (const secp256k1_schnorrsig **)malloc(MAX_SIGS * sizeof(secp256k1_schnorrsig *));
+
+    for (i = 0; i < MAX_SIGS; i++) {
+        unsigned char sk[32];
+        unsigned char *msg = (unsigned char *)malloc(32);
+        secp256k1_schnorrsig *sig = (secp256k1_schnorrsig *)malloc(sizeof(*sig));
+        unsigned char *pk_char = (unsigned char *)malloc(33);
+        secp256k1_pubkey pk;
+        size_t pk_len = 33;
+        msg[0] = sk[0] = i;
+        msg[1] = sk[1] = i >> 8;
+        msg[2] = sk[2] = i >> 16;
+        msg[3] = sk[3] = i >> 24;
+        memset(&msg[4], 'm', 28);
+        memset(&sk[4], 's', 28);
+
+        data.pk[i] = pk_char;
+        data.msgs[i] = msg;
+        data.sigs[i] = sig;
+
+        CHECK(secp256k1_ec_pubkey_create(data.ctx, &pk, sk));
+        CHECK(secp256k1_ec_pubkey_serialize(data.ctx, pk_char, &pk_len, &pk, SECP256K1_EC_COMPRESSED) == 1);
+        CHECK(secp256k1_schnorrsig_sign(data.ctx, sig, NULL, msg, sk, NULL, NULL));
+    }
+
+    run_benchmark("schnorrsig_sign", bench_schnorrsig_sign, NULL, NULL, (void *) &data, 10, 1000);
+    run_benchmark("schnorrsig_verify", bench_schnorrsig_verify, NULL, NULL, (void *) &data, 10, 1000);
+    for (i = 1; i <= MAX_SIGS; i *= 2) {
+        char name[64];
+        sprintf(name, "schnorrsig_batch_verify_%d", (int) i);
+
+        data.n = i;
+        run_benchmark(name, bench_schnorrsig_verify_n, NULL, NULL, (void *) &data, 3, MAX_SIGS);
+    }
+
+    for (i = 0; i < MAX_SIGS; i++) {
+        free((void *)data.pk[i]);
+        free((void *)data.msgs[i]);
+        free((void *)data.sigs[i]);
+    }
+    free(data.pk);
+    free(data.msgs);
+    free(data.sigs);
+
+    secp256k1_scratch_space_destroy(data.scratch);
+    secp256k1_context_destroy(data.ctx);
+    return 0;
+}

src/bench_sign.c

@@ -0,0 +1,56 @@
+/**********************************************************************
+ * Copyright (c) 2014 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include "include/secp256k1.h"
+#include "util.h"
+#include "bench.h"
+
+typedef struct {
+    secp256k1_context* ctx;
+    unsigned char msg[32];
+    unsigned char key[32];
+} bench_sign;
+
+static void bench_sign_setup(void* arg) {
+    int i;
+    bench_sign *data = (bench_sign*)arg;
+
+    for (i = 0; i < 32; i++) {
+        data->msg[i] = i + 1;
+    }
+    for (i = 0; i < 32; i++) {
+        data->key[i] = i + 65;
+    }
+}
+
+static void bench_sign_run(void* arg) {
+    int i;
+    bench_sign *data = (bench_sign*)arg;
+
+    unsigned char sig[74];
+    for (i = 0; i < 20000; i++) {
+        size_t siglen = 74;
+        int j;
+        secp256k1_ecdsa_signature signature;
+        CHECK(secp256k1_ecdsa_sign(data->ctx, &signature, data->msg, data->key, NULL, NULL));
+        CHECK(secp256k1_ecdsa_signature_serialize_der(data->ctx, sig, &siglen, &signature));
+        for (j = 0; j < 32; j++) {
+            data->msg[j] = sig[j];
+            data->key[j] = sig[j + 32];
+        }
+    }
+}
+
+int main(void) {
+    bench_sign data;
+
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN);
+
+    run_benchmark("ecdsa_sign", bench_sign_run, bench_sign_setup, NULL, &data, 10, 20000);
+
+    secp256k1_context_destroy(data.ctx);
+    return 0;
+}

src/bench_verify.c

@@ -0,0 +1,112 @@
+/**********************************************************************
+ * Copyright (c) 2014 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#include <stdio.h>
+#include <string.h>
+
+#include "include/secp256k1.h"
+#include "util.h"
+#include "bench.h"
+
+#ifdef ENABLE_OPENSSL_TESTS
+#include <openssl/bn.h>
+#include <openssl/ecdsa.h>
+#include <openssl/obj_mac.h>
+#endif
+
+typedef struct {
+    secp256k1_context *ctx;
+    unsigned char msg[32];
+    unsigned char key[32];
+    unsigned char sig[72];
+    size_t siglen;
+    unsigned char pubkey[33];
+    size_t pubkeylen;
+#ifdef ENABLE_OPENSSL_TESTS
+    EC_GROUP* ec_group;
+#endif
+} benchmark_verify_t;
+
+static void benchmark_verify(void* arg) {
+    int i;
+    benchmark_verify_t* data = (benchmark_verify_t*)arg;
+
+    for (i = 0; i < 20000; i++) {
+        secp256k1_pubkey pubkey;
+        secp256k1_ecdsa_signature sig;
+        data->sig[data->siglen - 1] ^= (i & 0xFF);
+        data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
+        data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
+        CHECK(secp256k1_ec_pubkey_parse(data->ctx, &pubkey, data->pubkey, data->pubkeylen) == 1);
+        CHECK(secp256k1_ecdsa_signature_parse_der(data->ctx, &sig, data->sig, data->siglen) == 1);
+        CHECK(secp256k1_ecdsa_verify(data->ctx, &sig, data->msg, &pubkey) == (i == 0));
+        data->sig[data->siglen - 1] ^= (i & 0xFF);
+        data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
+        data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
+    }
+}
+
+#ifdef ENABLE_OPENSSL_TESTS
+static void benchmark_verify_openssl(void* arg) {
+    int i;
+    benchmark_verify_t* data = (benchmark_verify_t*)arg;
+
+    for (i = 0; i < 20000; i++) {
+        data->sig[data->siglen - 1] ^= (i & 0xFF);
+        data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
+        data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
+        {
+            EC_KEY *pkey = EC_KEY_new();
+            const unsigned char *pubkey = &data->pubkey[0];
+            int result;
+
+            CHECK(pkey != NULL);
+            result = EC_KEY_set_group(pkey, data->ec_group);
+            CHECK(result);
+            result = (o2i_ECPublicKey(&pkey, &pubkey, data->pubkeylen)) != NULL;
+            CHECK(result);
+            result = ECDSA_verify(0, &data->msg[0], sizeof(data->msg), &data->sig[0], data->siglen, pkey) == (i == 0);
+            CHECK(result);
+            EC_KEY_free(pkey);
+        }
+        data->sig[data->siglen - 1] ^= (i & 0xFF);
+        data->sig[data->siglen - 2] ^= ((i >> 8) & 0xFF);
+        data->sig[data->siglen - 3] ^= ((i >> 16) & 0xFF);
+    }
+}
+#endif
+
+int main(void) {
+    int i;
+    secp256k1_pubkey pubkey;
+    secp256k1_ecdsa_signature sig;
+    benchmark_verify_t data;
+
+    data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+    for (i = 0; i < 32; i++) {
+        data.msg[i] = 1 + i;
+    }
+    for (i = 0; i < 32; i++) {
+        data.key[i] = 33 + i;
+    }
+    data.siglen = 72;
+    CHECK(secp256k1_ecdsa_sign(data.ctx, &sig, data.msg, data.key, NULL, NULL));
+    CHECK(secp256k1_ecdsa_signature_serialize_der(data.ctx, data.sig, &data.siglen, &sig));
+    CHECK(secp256k1_ec_pubkey_create(data.ctx, &pubkey, data.key));
+    data.pubkeylen = 33;
+    CHECK(secp256k1_ec_pubkey_serialize(data.ctx, data.pubkey, &data.pubkeylen, &pubkey, SECP256K1_EC_COMPRESSED) == 1);
+
+    run_benchmark("ecdsa_verify", benchmark_verify, NULL, NULL, &data, 10, 20000);
+#ifdef ENABLE_OPENSSL_TESTS
+    data.ec_group = EC_GROUP_new_by_curve_name(NID_secp256k1);
+    run_benchmark("ecdsa_verify_openssl", benchmark_verify_openssl, NULL, NULL, &data, 10, 20000);
+    EC_GROUP_free(data.ec_group);
+#endif
+
+    secp256k1_context_destroy(data.ctx);
+    return 0;
+}

src/bench_whitelist.c

@@ -8,9 +8,10 @@
 #include "include/secp256k1.h"
 
 #include "include/secp256k1_whitelist.h"
-#include "util.h"
 #include "bench.h"
+#include "util.h"
 #include "hash_impl.h"
+#include "num_impl.h"
 #include "scalar_impl.h"
 #include "testrand_impl.h"
 
@@ -28,31 +29,28 @@ typedef struct {
     size_t n_keys;
 } bench_data;
 
-static void bench_whitelist(void* arg, int iters) {
+static void bench_whitelist(void* arg) {
     bench_data* data = (bench_data*)arg;
-    int i;
-    for (i = 0; i < iters; i++) {
-        CHECK(secp256k1_whitelist_verify(data->ctx, &data->sig, data->online_pubkeys, data->offline_pubkeys, data->n_keys, &data->sub_pubkey) == 1);
-    }
+    CHECK(secp256k1_whitelist_verify(data->ctx, &data->sig, data->online_pubkeys, data->offline_pubkeys, data->n_keys, &data->sub_pubkey) == 1);
 }
 
 static void bench_whitelist_setup(void* arg) {
     bench_data* data = (bench_data*)arg;
     int i = 0;
-    CHECK(secp256k1_whitelist_sign(data->ctx, &data->sig, data->online_pubkeys, data->offline_pubkeys, data->n_keys, &data->sub_pubkey, data->online_seckey[i], data->summed_seckey[i], i));
+    CHECK(secp256k1_whitelist_sign(data->ctx, &data->sig, data->online_pubkeys, data->offline_pubkeys, data->n_keys, &data->sub_pubkey, data->online_seckey[i], data->summed_seckey[i], i, NULL, NULL));
 }
 
-static void run_test(bench_data* data, int iters) {
+static void run_test(bench_data* data) {
     char str[32];
     sprintf(str, "whitelist_%i", (int)data->n_keys);
-    run_benchmark(str, bench_whitelist, bench_whitelist_setup, NULL, data, 100, iters);
+    run_benchmark(str, bench_whitelist, bench_whitelist_setup, NULL, data, 100, 1);
 }
 
 void random_scalar_order(secp256k1_scalar *num) {
     do {
         unsigned char b32[32];
         int overflow = 0;
-        secp256k1_testrand256(b32);
+        secp256k1_rand256(b32);
         secp256k1_scalar_set_b32(num, b32, &overflow);
         if (overflow || secp256k1_scalar_is_zero(num)) {
             continue;
@@ -66,7 +64,6 @@ int main(void) {
     size_t i;
     size_t n_keys = 30;
     secp256k1_scalar ssub;
-    int iters = get_iters(5);
 
     data.ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
 
@@ -99,7 +96,7 @@ int main(void) {
     /* Run test */
     for (i = 1; i <= n_keys; ++i) {
         data.n_keys = i;
-        run_test(&data, iters);
+        run_test(&data);
     }
 
     secp256k1_context_destroy(data.ctx);

src/eccommit.h

@@ -1,28 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2020 The libsecp256k1-zkp Developers                 *
- * Distributed under the MIT software license, see the accompanying   *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#ifndef SECP256K1_ECCOMMIT_H
-#define SECP256K1_ECCOMMIT_H
-
-/** Helper function to add a 32-byte value to a scalar */
-static int secp256k1_ec_seckey_tweak_add_helper(secp256k1_scalar *sec, const unsigned char *tweak);
-/** Helper function to add a 32-byte value, times G, to an EC point */
-static int secp256k1_ec_pubkey_tweak_add_helper(const secp256k1_ecmult_context* ecmult_ctx, secp256k1_ge *p, const unsigned char *tweak);
-
-/** Serializes elem as a 33 byte array. This is non-constant time with respect to
- *  whether pubp is the point at infinity. Thus, you may need to declassify
- *  pubp->infinity before calling this function. */
-static int secp256k1_ec_commit_pubkey_serialize_const(secp256k1_ge *pubp, unsigned char *buf33);
-/** Compute an ec commitment tweak as hash(pubkey, data). */
-static int secp256k1_ec_commit_tweak(unsigned char *tweak32, secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size);
-/** Compute an ec commitment as pubkey + hash(pubkey, data)*G. */
-static int secp256k1_ec_commit(const secp256k1_ecmult_context* ecmult_ctx, secp256k1_ge* commitp, const secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size);
-/** Compute a secret key commitment as seckey + hash(pubkey, data). */
-static int secp256k1_ec_commit_seckey(const secp256k1_ecmult_gen_context* ecmult_gen_ctx, secp256k1_scalar* seckey, secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size);
-/** Verify an ec commitment as pubkey + hash(pubkey, data)*G ?= commitment. */
-static int secp256k1_ec_commit_verify(const secp256k1_ecmult_context* ecmult_ctx, const secp256k1_ge* commitp, const secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size);
-
-#endif /* SECP256K1_ECCOMMIT_H */

src/eccommit_impl.h

@@ -1,73 +0,0 @@
-/**********************************************************************
- * Copyright (c) 2020 The libsecp256k1 Developers                     *
- * Distributed under the MIT software license, see the accompanying   *
- * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
- **********************************************************************/
-
-#include <stddef.h>
-
-#include "eckey.h"
-#include "hash.h"
-
-/* from secp256k1.c */
-static int secp256k1_ec_seckey_tweak_add_helper(secp256k1_scalar *sec, const unsigned char *tweak);
-static int secp256k1_ec_pubkey_tweak_add_helper(secp256k1_ge *pubp, const unsigned char *tweak);
-
-static int secp256k1_ec_commit_pubkey_serialize_const(secp256k1_ge *pubp, unsigned char *buf33) {
-    if (secp256k1_ge_is_infinity(pubp)) {
-        return 0;
-    }
-    secp256k1_fe_normalize(&pubp->x);
-    secp256k1_fe_normalize(&pubp->y);
-    secp256k1_fe_get_b32(&buf33[1], &pubp->x);
-    buf33[0] = secp256k1_fe_is_odd(&pubp->y) ? SECP256K1_TAG_PUBKEY_ODD : SECP256K1_TAG_PUBKEY_EVEN;
-    return 1;
-}
-
-/* Compute an ec commitment tweak as hash(pubp, data). */
-static int secp256k1_ec_commit_tweak(unsigned char *tweak32, secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size)
-{
-    unsigned char rbuf[33];
-
-    if (!secp256k1_ec_commit_pubkey_serialize_const(pubp, rbuf)) {
-        return 0;
-    }
-    secp256k1_sha256_write(sha, rbuf, sizeof(rbuf));
-    secp256k1_sha256_write(sha, data, data_size);
-    secp256k1_sha256_finalize(sha, tweak32);
-    return 1;
-}
-
-/* Compute an ec commitment as pubp + hash(pubp, data)*G. */
-static int secp256k1_ec_commit(secp256k1_ge* commitp, const secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size) {
-    unsigned char tweak[32];
-
-    *commitp = *pubp;
-    return secp256k1_ec_commit_tweak(tweak, commitp, sha, data, data_size)
-           && secp256k1_ec_pubkey_tweak_add_helper(commitp, tweak);
-}
-
-/* Compute the seckey of an ec commitment from the original secret key of the pubkey as seckey +
- * hash(pubp, data). */
-static int secp256k1_ec_commit_seckey(secp256k1_scalar* seckey, secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size) {
-    unsigned char tweak[32];
-    return secp256k1_ec_commit_tweak(tweak, pubp, sha, data, data_size)
-           && secp256k1_ec_seckey_tweak_add_helper(seckey, tweak);
-}
-
-/* Verify an ec commitment as pubp + hash(pubp, data)*G ?= commitment. */
-static int secp256k1_ec_commit_verify(const secp256k1_ge* commitp, const secp256k1_ge* pubp, secp256k1_sha256* sha, const unsigned char *data, size_t data_size) {
-    secp256k1_gej pj;
-    secp256k1_ge p;
-
-    if (!secp256k1_ec_commit(&p, pubp, sha, data, data_size)) {
-        return 0;
-    }
-
-    /* Return p == commitp */
-    secp256k1_ge_neg(&p, &p);
-    secp256k1_gej_set_ge(&pj, &p);
-    secp256k1_gej_add_ge_var(&pj, &pj, commitp, NULL);
-    return secp256k1_gej_is_infinity(&pj);
-}
-

src/ecdsa.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECDSA_H
 #define SECP256K1_ECDSA_H
@@ -15,7 +15,7 @@
 
 static int secp256k1_ecdsa_sig_parse(secp256k1_scalar *r, secp256k1_scalar *s, const unsigned char *sig, size_t size);
 static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const secp256k1_scalar *r, const secp256k1_scalar *s);
-static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message);
+static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar* r, const secp256k1_scalar* s, const secp256k1_ge *pubkey, const secp256k1_scalar *message);
 static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, secp256k1_scalar* r, secp256k1_scalar* s, const secp256k1_scalar *seckey, const secp256k1_scalar *message, const secp256k1_scalar *nonce, int *recid);
 
 #endif /* SECP256K1_ECDSA_H */

src/ecdsa_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013-2015 Pieter Wuille                               *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013-2015 Pieter Wuille                              *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 
 #ifndef SECP256K1_ECDSA_IMPL_H
@@ -112,7 +112,7 @@ static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char
     if (secp256k1_der_read_len(&rlen, sig, sigend) == 0) {
         return 0;
     }
-    if (rlen == 0 || rlen > (size_t)(sigend - *sig)) {
+    if (rlen == 0 || *sig + rlen > sigend) {
         /* Exceeds bounds or not at least length 1 (X.690-0207 8.3.1).  */
         return 0;
     }
@@ -140,7 +140,7 @@ static int secp256k1_der_parse_integer(secp256k1_scalar *r, const unsigned char
         overflow = 1;
     }
     if (!overflow) {
-        if (rlen) memcpy(ra + 32 - rlen, *sig, rlen);
+        memcpy(ra + 32 - rlen, *sig, rlen);
         secp256k1_scalar_set_b32(r, ra, &overflow);
     }
     if (overflow) {
@@ -204,7 +204,7 @@ static int secp256k1_ecdsa_sig_serialize(unsigned char *sig, size_t *size, const
     return 1;
 }
 
-static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) {
+static int secp256k1_ecdsa_sig_verify(const secp256k1_ecmult_context *ctx, const secp256k1_scalar *sigr, const secp256k1_scalar *sigs, const secp256k1_ge *pubkey, const secp256k1_scalar *message) {
     unsigned char c[32];
     secp256k1_scalar sn, u1, u2;
 #if !defined(EXHAUSTIVE_TEST_ORDER)
@@ -221,7 +221,7 @@ static int secp256k1_ecdsa_sig_verify(const secp256k1_scalar *sigr, const secp25
     secp256k1_scalar_mul(&u1, &sn, message);
     secp256k1_scalar_mul(&u2, &sn, sigr);
     secp256k1_gej_set_ge(&pubkeyj, pubkey);
-    secp256k1_ecmult(&pr, &pubkeyj, &u2, &u1);
+    secp256k1_ecmult(ctx, &pr, &pubkeyj, &u2, &u1);
     if (secp256k1_gej_is_infinity(&pr)) {
         return 0;
     }
@@ -280,7 +280,6 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec
     secp256k1_ge r;
     secp256k1_scalar n;
     int overflow = 0;
-    int high;
 
     secp256k1_ecmult_gen(ctx, &rp, nonce);
     secp256k1_ge_set_gej(&r, &rp);
@@ -288,11 +287,15 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec
     secp256k1_fe_normalize(&r.y);
     secp256k1_fe_get_b32(b, &r.x);
     secp256k1_scalar_set_b32(sigr, b, &overflow);
+    /* These two conditions should be checked before calling */
+    VERIFY_CHECK(!secp256k1_scalar_is_zero(sigr));
+    VERIFY_CHECK(overflow == 0);
+
     if (recid) {
         /* The overflow condition is cryptographically unreachable as hitting it requires finding the discrete log
          * of some P where P.x >= order, and only 1 in about 2^127 points meet this criteria.
          */
-        *recid = (overflow << 1) | secp256k1_fe_is_odd(&r.y);
+        *recid = (overflow ? 2 : 0) | (secp256k1_fe_is_odd(&r.y) ? 1 : 0);
     }
     secp256k1_scalar_mul(&n, sigr, seckey);
     secp256k1_scalar_add(&n, &n, message);
@@ -301,15 +304,16 @@ static int secp256k1_ecdsa_sig_sign(const secp256k1_ecmult_gen_context *ctx, sec
     secp256k1_scalar_clear(&n);
     secp256k1_gej_clear(&rp);
     secp256k1_ge_clear(&r);
-    high = secp256k1_scalar_is_high(sigs);
-    secp256k1_scalar_cond_negate(sigs, high);
-    if (recid) {
-        *recid ^= high;
+    if (secp256k1_scalar_is_zero(sigs)) {
+        return 0;
     }
-    /* P.x = order is on the curve, so technically sig->r could end up being zero, which would be an invalid signature.
-     * This is cryptographically unreachable as hitting it requires finding the discrete log of P.x = N.
-     */
-    return (int)(!secp256k1_scalar_is_zero(sigr)) & (int)(!secp256k1_scalar_is_zero(sigs));
+    if (secp256k1_scalar_is_high(sigs)) {
+        secp256k1_scalar_negate(sigs, sigs);
+        if (recid) {
+            *recid ^= 1;
+        }
+    }
+    return 1;
 }
 
 #endif /* SECP256K1_ECDSA_IMPL_H */

src/eckey.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECKEY_H
 #define SECP256K1_ECKEY_H
@@ -18,8 +18,8 @@ static int secp256k1_eckey_pubkey_parse(secp256k1_ge *elem, const unsigned char
 static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *pub, size_t *size, int compressed);
 
 static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak);
-static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak);
+static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak);
 static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak);
-static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak);
+static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak);
 
 #endif /* SECP256K1_ECKEY_H */

src/eckey_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECKEY_IMPL_H
 #define SECP256K1_ECKEY_IMPL_H
@@ -54,15 +54,18 @@ static int secp256k1_eckey_pubkey_serialize(secp256k1_ge *elem, unsigned char *p
 
 static int secp256k1_eckey_privkey_tweak_add(secp256k1_scalar *key, const secp256k1_scalar *tweak) {
     secp256k1_scalar_add(key, key, tweak);
-    return !secp256k1_scalar_is_zero(key);
+    if (secp256k1_scalar_is_zero(key)) {
+        return 0;
+    }
+    return 1;
 }
 
-static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_scalar *tweak) {
+static int secp256k1_eckey_pubkey_tweak_add(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) {
     secp256k1_gej pt;
     secp256k1_scalar one;
     secp256k1_gej_set_ge(&pt, key);
     secp256k1_scalar_set_int(&one, 1);
-    secp256k1_ecmult(&pt, &pt, &one, tweak);
+    secp256k1_ecmult(ctx, &pt, &pt, &one, tweak);
 
     if (secp256k1_gej_is_infinity(&pt)) {
         return 0;
@@ -72,14 +75,15 @@ static int secp256k1_eckey_pubkey_tweak_add(secp256k1_ge *key, const secp256k1_s
 }
 
 static int secp256k1_eckey_privkey_tweak_mul(secp256k1_scalar *key, const secp256k1_scalar *tweak) {
-    int ret;
-    ret = !secp256k1_scalar_is_zero(tweak);
+    if (secp256k1_scalar_is_zero(tweak)) {
+        return 0;
+    }
 
     secp256k1_scalar_mul(key, key, tweak);
-    return ret;
+    return 1;
 }
 
-static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_scalar *tweak) {
+static int secp256k1_eckey_pubkey_tweak_mul(const secp256k1_ecmult_context *ctx, secp256k1_ge *key, const secp256k1_scalar *tweak) {
     secp256k1_scalar zero;
     secp256k1_gej pt;
     if (secp256k1_scalar_is_zero(tweak)) {
@@ -88,7 +92,7 @@ static int secp256k1_eckey_pubkey_tweak_mul(secp256k1_ge *key, const secp256k1_s
 
     secp256k1_scalar_set_int(&zero, 0);
     secp256k1_gej_set_ge(&pt, key);
-    secp256k1_ecmult(&pt, &pt, tweak, &zero);
+    secp256k1_ecmult(ctx, &pt, &pt, tweak, &zero);
     secp256k1_ge_set_gej(key, &pt);
     return 1;
 }

src/ecmult.h

@@ -1,36 +1,34 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra       *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014, 2017 Pieter Wuille, Andrew Poelstra      *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECMULT_H
 #define SECP256K1_ECMULT_H
 
+#include "num.h"
 #include "group.h"
 #include "scalar.h"
 #include "scratch.h"
 
-/* Noone will ever need more than a window size of 24. The code might
- * be correct for larger values of ECMULT_WINDOW_SIZE but this is not
- * tested.
- *
- * The following limitations are known, and there are probably more:
- * If WINDOW_G > 27 and size_t has 32 bits, then the code is incorrect
- * because the size of the memory object that we allocate (in bytes)
- * will not fit in a size_t.
- * If WINDOW_G > 31 and int has 32 bits, then the code is incorrect
- * because certain expressions will overflow.
- */
-#if ECMULT_WINDOW_SIZE < 2 || ECMULT_WINDOW_SIZE > 24
-#  error Set ECMULT_WINDOW_SIZE to an integer in range [2..24].
+typedef struct {
+    /* For accelerating the computation of a*P + b*G: */
+    secp256k1_ge_storage (*pre_g)[];    /* odd multiples of the generator */
+#ifdef USE_ENDOMORPHISM
+    secp256k1_ge_storage (*pre_g_128)[]; /* odd multiples of 2^128*generator */
 #endif
+} secp256k1_ecmult_context;
 
-/** The number of entries a table with precomputed multiples needs to have. */
-#define ECMULT_TABLE_SIZE(w) (1L << ((w)-2))
+static const size_t SECP256K1_ECMULT_CONTEXT_PREALLOCATED_SIZE;
+static void secp256k1_ecmult_context_init(secp256k1_ecmult_context *ctx);
+static void secp256k1_ecmult_context_build(secp256k1_ecmult_context *ctx, void **prealloc);
+static void secp256k1_ecmult_context_finalize_memcpy(secp256k1_ecmult_context *dst, const secp256k1_ecmult_context *src);
+static void secp256k1_ecmult_context_clear(secp256k1_ecmult_context *ctx);
+static int secp256k1_ecmult_context_is_built(const secp256k1_ecmult_context *ctx);
 
 /** Double multiply: R = na*A + ng*G */
-static void secp256k1_ecmult(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng);
+static void secp256k1_ecmult(const secp256k1_ecmult_context *ctx, secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_scalar *na, const secp256k1_scalar *ng);
 
 typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge *pt, size_t idx, void *data);
 
@@ -45,6 +43,6 @@ typedef int (secp256k1_ecmult_multi_callback)(secp256k1_scalar *sc, secp256k1_ge
  *          0 if there is not enough scratch space for a single point or
  *          callback returns 0
  */
-static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n);
+static int secp256k1_ecmult_multi_var(const secp256k1_callback* error_callback, const secp256k1_ecmult_context *ctx, secp256k1_scratch *scratch, secp256k1_gej *r, const secp256k1_scalar *inp_g_sc, secp256k1_ecmult_multi_callback cb, void *cbdata, size_t n);
 
 #endif /* SECP256K1_ECMULT_H */

src/ecmult_compute_table.h

@@ -1,16 +0,0 @@
-/*****************************************************************************************************
- * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor *
- * Distributed under the MIT software license, see the accompanying                                  *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.                              *
- *****************************************************************************************************/
-
-#ifndef SECP256K1_ECMULT_COMPUTE_TABLE_H
-#define SECP256K1_ECMULT_COMPUTE_TABLE_H
-
-/* Construct table of all odd multiples of gen in range 1..(2**(window_g-1)-1). */
-static void secp256k1_ecmult_compute_table(secp256k1_ge_storage* table, int window_g, const secp256k1_gej* gen);
-
-/* Like secp256k1_ecmult_compute_table, but one for both gen and gen*2^128. */
-static void secp256k1_ecmult_compute_two_tables(secp256k1_ge_storage* table, secp256k1_ge_storage* table_128, int window_g, const secp256k1_ge* gen);
-
-#endif /* SECP256K1_ECMULT_COMPUTE_TABLE_H */

src/ecmult_compute_table_impl.h

@@ -1,49 +0,0 @@
-/*****************************************************************************************************
- * Copyright (c) 2013, 2014, 2017, 2021 Pieter Wuille, Andrew Poelstra, Jonas Nick, Russell O'Connor *
- * Distributed under the MIT software license, see the accompanying                                  *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.                              *
- *****************************************************************************************************/
-
-#ifndef SECP256K1_ECMULT_COMPUTE_TABLE_IMPL_H
-#define SECP256K1_ECMULT_COMPUTE_TABLE_IMPL_H
-
-#include "ecmult_compute_table.h"
-#include "group_impl.h"
-#include "field_impl.h"
-#include "ecmult.h"
-#include "util.h"
-
-static void secp256k1_ecmult_compute_table(secp256k1_ge_storage* table, int window_g, const secp256k1_gej* gen) {
-    secp256k1_gej gj;
-    secp256k1_ge ge, dgen;
-    int j;
-
-    gj = *gen;
-    secp256k1_ge_set_gej_var(&ge, &gj);
-    secp256k1_ge_to_storage(&table[0], &ge);
-
-    secp256k1_gej_double_var(&gj, gen, NULL);
-    secp256k1_ge_set_gej_var(&dgen, &gj);
-
-    for (j = 1; j < ECMULT_TABLE_SIZE(window_g); ++j) {
-        secp256k1_gej_set_ge(&gj, &ge);
-        secp256k1_gej_add_ge_var(&gj, &gj, &dgen, NULL);
-        secp256k1_ge_set_gej_var(&ge, &gj);
-        secp256k1_ge_to_storage(&table[j], &ge);
-    }
-}
-
-/* Like secp256k1_ecmult_compute_table, but one for both gen and gen*2^128. */
-static void secp256k1_ecmult_compute_two_tables(secp256k1_ge_storage* table, secp256k1_ge_storage* table_128, int window_g, const secp256k1_ge* gen) {
-    secp256k1_gej gj;
-    int i;
-
-    secp256k1_gej_set_ge(&gj, gen);
-    secp256k1_ecmult_compute_table(table, window_g, &gj);
-    for (i = 0; i < 128; ++i) {
-        secp256k1_gej_double_var(&gj, &gj, NULL);
-    }
-    secp256k1_ecmult_compute_table(table_128, window_g, &gj);
-}
-
-#endif /* SECP256K1_ECMULT_COMPUTE_TABLE_IMPL_H */

src/ecmult_const.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2015 Andrew Poelstra                                  *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2015 Andrew Poelstra                                 *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECMULT_CONST_H
 #define SECP256K1_ECMULT_CONST_H
@@ -10,12 +10,8 @@
 #include "scalar.h"
 #include "group.h"
 
-/**
- * Multiply: R = q*A (in constant-time)
- * Here `bits` should be set to the maximum bitlength of the _absolute value_ of `q`, plus
- * one because we internally sometimes add 2 to the number during the WNAF conversion.
- * A must not be infinity.
- */
+/* Here `bits` should be set to the maximum bitlength of the _absolute value_ of `q`, plus
+ * one because we internally sometimes add 2 to the number during the WNAF conversion. */
 static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, const secp256k1_scalar *q, int bits);
 
 #endif /* SECP256K1_ECMULT_CONST_H */

src/ecmult_const_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra                   *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2015 Pieter Wuille, Andrew Poelstra                  *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECMULT_CONST_IMPL_H
 #define SECP256K1_ECMULT_CONST_IMPL_H
@@ -12,37 +12,18 @@
 #include "ecmult_const.h"
 #include "ecmult_impl.h"
 
-/** Fill a table 'pre' with precomputed odd multiples of a.
- *
- *  The resulting point set is brought to a single constant Z denominator, stores the X and Y
- *  coordinates as ge_storage points in pre, and stores the global Z in globalz.
- *  It only operates on tables sized for WINDOW_A wnaf multiples.
- */
-static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *pre, secp256k1_fe *globalz, const secp256k1_gej *a) {
-    secp256k1_fe zr[ECMULT_TABLE_SIZE(WINDOW_A)];
-
-    secp256k1_ecmult_odd_multiples_table(ECMULT_TABLE_SIZE(WINDOW_A), pre, zr, globalz, a);
-    secp256k1_ge_table_set_globalz(ECMULT_TABLE_SIZE(WINDOW_A), pre, zr);
-}
-
 /* This is like `ECMULT_TABLE_GET_GE` but is constant time */
 #define ECMULT_CONST_TABLE_GET_GE(r,pre,n,w) do { \
-    int m = 0; \
-    /* Extract the sign-bit for a constant time absolute-value. */ \
-    int mask = (n) >> (sizeof(n) * CHAR_BIT - 1); \
-    int abs_n = ((n) + mask) ^ mask; \
-    int idx_n = abs_n >> 1; \
+    int m; \
+    int abs_n = (n) * (((n) > 0) * 2 - 1); \
+    int idx_n = abs_n / 2; \
     secp256k1_fe neg_y; \
     VERIFY_CHECK(((n) & 1) == 1); \
     VERIFY_CHECK((n) >= -((1 << ((w)-1)) - 1)); \
     VERIFY_CHECK((n) <=  ((1 << ((w)-1)) - 1)); \
     VERIFY_SETUP(secp256k1_fe_clear(&(r)->x)); \
     VERIFY_SETUP(secp256k1_fe_clear(&(r)->y)); \
-    /* Unconditionally set r->x = (pre)[m].x. r->y = (pre)[m].y. because it's either the correct one \
-     * or will get replaced in the later iterations, this is needed to make sure `r` is initialized. */ \
-    (r)->x = (pre)[m].x; \
-    (r)->y = (pre)[m].y; \
-    for (m = 1; m < ECMULT_TABLE_SIZE(w); m++) { \
+    for (m = 0; m < ECMULT_TABLE_SIZE(w); m++) { \
         /* This loop is used to avoid secret data in array indices. See
          * the comment in ecmult_gen_impl.h for rationale. */ \
         secp256k1_fe_cmov(&(r)->x, &(pre)[m].x, m == idx_n); \
@@ -53,6 +34,7 @@ static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *p
     secp256k1_fe_cmov(&(r)->y, &neg_y, (n) != abs_n); \
 } while(0)
 
+
 /** Convert a number to WNAF notation.
  *  The number becomes represented by sum(2^{wi} * wnaf[i], i=0..WNAF_SIZE(w)+1) - return_val.
  *  It has the following guarantees:
@@ -62,13 +44,13 @@ static void secp256k1_ecmult_odd_multiples_table_globalz_windowa(secp256k1_ge *p
  *
  *  Adapted from `The Width-w NAF Method Provides Small Memory and Fast Elliptic Scalar
  *  Multiplications Secure against Side Channel Attacks`, Okeya and Tagaki. M. Joye (Ed.)
- *  CT-RSA 2003, LNCS 2612, pp. 328-443, 2003. Springer-Verlag Berlin Heidelberg 2003
+ *  CT-RSA 2003, LNCS 2612, pp. 328-443, 2003. Springer-Verlagy Berlin Heidelberg 2003
  *
  *  Numbers reference steps of `Algorithm SPA-resistant Width-w NAF with Odd Scalar` on pp. 335
  */
 static int secp256k1_wnaf_const(int *wnaf, const secp256k1_scalar *scalar, int w, int size) {
     int global_sign;
-    int skew;
+    int skew = 0;
     int word = 0;
 
     /* 1 2 3 */
@@ -76,7 +58,9 @@ static int secp256k1_wnaf_const(int *wnaf, const secp256k1_scalar *scalar, int w
     int u;
 
     int flip;
-    secp256k1_scalar s = *scalar;
+    int bit;
+    secp256k1_scalar s;
+    int not_neg_one;
 
     VERIFY_CHECK(w > 0);
     VERIFY_CHECK(size > 0);
@@ -84,39 +68,47 @@ static int secp256k1_wnaf_const(int *wnaf, const secp256k1_scalar *scalar, int w
     /* Note that we cannot handle even numbers by negating them to be odd, as is
      * done in other implementations, since if our scalars were specified to have
      * width < 256 for performance reasons, their negations would have width 256
-     * and we'd lose any performance benefit. Instead, we use a variation of a
-     * technique from Section 4.2 of the Okeya/Tagaki paper, which is to add 1 to the
-     * number we are encoding when it is even, returning a skew value indicating
+     * and we'd lose any performance benefit. Instead, we use a technique from
+     * Section 4.2 of the Okeya/Tagaki paper, which is to add either 1 (for even)
+     * or 2 (for odd) to the number we are encoding, returning a skew value indicating
      * this, and having the caller compensate after doing the multiplication.
      *
      * In fact, we _do_ want to negate numbers to minimize their bit-lengths (and in
      * particular, to ensure that the outputs from the endomorphism-split fit into
-     * 128 bits). If we negate, the parity of our number flips, affecting whether
-     * we want to add to the scalar to ensure that it's odd. */
-    flip = secp256k1_scalar_is_high(&s);
-    skew = flip ^ secp256k1_scalar_is_even(&s);
-    secp256k1_scalar_cadd_bit(&s, 0, skew);
+     * 128 bits). If we negate, the parity of our number flips, inverting which of
+     * {1, 2} we want to add to the scalar when ensuring that it's odd. Further
+     * complicating things, -1 interacts badly with `secp256k1_scalar_cadd_bit` and
+     * we need to special-case it in this logic. */
+    flip = secp256k1_scalar_is_high(scalar);
+    /* We add 1 to even numbers, 2 to odd ones, noting that negation flips parity */
+    bit = flip ^ !secp256k1_scalar_is_even(scalar);
+    /* We check for negative one, since adding 2 to it will cause an overflow */
+    secp256k1_scalar_negate(&s, scalar);
+    not_neg_one = !secp256k1_scalar_is_one(&s);
+    s = *scalar;
+    secp256k1_scalar_cadd_bit(&s, bit, not_neg_one);
+    /* If we had negative one, flip == 1, s.d[0] == 0, bit == 1, so caller expects
+     * that we added two to it and flipped it. In fact for -1 these operations are
+     * identical. We only flipped, but since skewing is required (in the sense that
+     * the skew must be 1 or 2, never zero) and flipping is not, we need to change
+     * our flags to claim that we only skewed. */
     global_sign = secp256k1_scalar_cond_negate(&s, flip);
+    global_sign *= not_neg_one * 2 - 1;
+    skew = 1 << bit;
 
     /* 4 */
     u_last = secp256k1_scalar_shr_int(&s, w);
     do {
+        int sign;
         int even;
 
         /* 4.1 4.4 */
         u = secp256k1_scalar_shr_int(&s, w);
         /* 4.2 */
         even = ((u & 1) == 0);
-        /* In contrast to the original algorithm, u_last is always > 0 and
-         * therefore we do not need to check its sign. In particular, it's easy
-         * to see that u_last is never < 0 because u is never < 0. Moreover,
-         * u_last is never = 0 because u is never even after a loop
-         * iteration. The same holds analogously for the initial value of
-         * u_last (in the first loop iteration). */
-        VERIFY_CHECK(u_last > 0);
-        VERIFY_CHECK((u_last & 1) == 1);
-        u += even;
-        u_last -= even * (1 << w);
+        sign = 2 * (u_last > 0) - 1;
+        u += sign * even;
+        u_last -= sign * even * (1 << w);
 
         /* 4.3, adapted for global sign change */
         wnaf[word++] = u_last * global_sign;
@@ -136,16 +128,19 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
     secp256k1_fe Z;
 
     int skew_1;
+#ifdef USE_ENDOMORPHISM
     secp256k1_ge pre_a_lam[ECMULT_TABLE_SIZE(WINDOW_A)];
     int wnaf_lam[1 + WNAF_SIZE(WINDOW_A - 1)];
     int skew_lam;
     secp256k1_scalar q_1, q_lam;
+#endif
     int wnaf_1[1 + WNAF_SIZE(WINDOW_A - 1)];
 
     int i;
 
     /* build wnaf representation for q. */
     int rsize = size;
+#ifdef USE_ENDOMORPHISM
     if (size > 128) {
         rsize = 128;
         /* split q into q_1 and q_lam (where q = q_1 + q_lam*lambda, and q_1 and q_lam are ~128 bit) */
@@ -153,9 +148,12 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
         skew_1   = secp256k1_wnaf_const(wnaf_1,   &q_1,   WINDOW_A - 1, 128);
         skew_lam = secp256k1_wnaf_const(wnaf_lam, &q_lam, WINDOW_A - 1, 128);
     } else
+#endif
     {
         skew_1   = secp256k1_wnaf_const(wnaf_1, scalar, WINDOW_A - 1, size);
+#ifdef USE_ENDOMORPHISM
         skew_lam = 0;
+#endif
     }
 
     /* Calculate odd multiples of a.
@@ -164,18 +162,18 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
      * that the Z coordinate was 1, use affine addition formulae, and correct
      * the Z coordinate of the result once at the end.
      */
-    VERIFY_CHECK(!a->infinity);
     secp256k1_gej_set_ge(r, a);
     secp256k1_ecmult_odd_multiples_table_globalz_windowa(pre_a, &Z, r);
     for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
         secp256k1_fe_normalize_weak(&pre_a[i].y);
     }
+#ifdef USE_ENDOMORPHISM
     if (size > 128) {
         for (i = 0; i < ECMULT_TABLE_SIZE(WINDOW_A); i++) {
             secp256k1_ge_mul_lambda(&pre_a_lam[i], &pre_a[i]);
         }
-
     }
+#endif
 
     /* first loop iteration (separated out so we can directly set r, rather
      * than having it start at infinity, get doubled several times, then have
@@ -184,48 +182,80 @@ static void secp256k1_ecmult_const(secp256k1_gej *r, const secp256k1_ge *a, cons
     VERIFY_CHECK(i != 0);
     ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, i, WINDOW_A);
     secp256k1_gej_set_ge(r, &tmpa);
+#ifdef USE_ENDOMORPHISM
     if (size > 128) {
         i = wnaf_lam[WNAF_SIZE_BITS(rsize, WINDOW_A - 1)];
         VERIFY_CHECK(i != 0);
         ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, i, WINDOW_A);
         secp256k1_gej_add_ge(r, r, &tmpa);
     }
+#endif
     /* remaining loop iterations */
     for (i = WNAF_SIZE_BITS(rsize, WINDOW_A - 1) - 1; i >= 0; i--) {
         int n;
         int j;
         for (j = 0; j < WINDOW_A - 1; ++j) {
-            secp256k1_gej_double(r, r);
+            secp256k1_gej_double_nonzero(r, r, NULL);
         }
 
         n = wnaf_1[i];
         ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a, n, WINDOW_A);
         VERIFY_CHECK(n != 0);
         secp256k1_gej_add_ge(r, r, &tmpa);
+#ifdef USE_ENDOMORPHISM
         if (size > 128) {
             n = wnaf_lam[i];
             ECMULT_CONST_TABLE_GET_GE(&tmpa, pre_a_lam, n, WINDOW_A);
             VERIFY_CHECK(n != 0);
             secp256k1_gej_add_ge(r, r, &tmpa);
         }
-    }
-
-    {
-        /* Correct for wNAF skew */
-        secp256k1_gej tmpj;
-
-        secp256k1_ge_neg(&tmpa, &pre_a[0]);
-        secp256k1_gej_add_ge(&tmpj, r, &tmpa);
-        secp256k1_gej_cmov(r, &tmpj, skew_1);
-
-        if (size > 128) {
-            secp256k1_ge_neg(&tmpa, &pre_a_lam[0]);
-            secp256k1_gej_add_ge(&tmpj, r, &tmpa);
-            secp256k1_gej_cmov(r, &tmpj, skew_lam);
-        }
+#endif
     }
 
     secp256k1_fe_mul(&r->z, &r->z, &Z);
+
+    {
+        /* Correct for wNAF skew */
+        secp256k1_ge correction = *a;
+        secp256k1_ge_storage correction_1_stor;
+#ifdef USE_ENDOMORPHISM
+        secp256k1_ge_storage correction_lam_stor;
+#endif
+        secp256k1_ge_storage a2_stor;
+        secp256k1_gej tmpj;
+        secp256k1_gej_set_ge(&tmpj, &correction);
+        secp256k1_gej_double_var(&tmpj, &tmpj, NULL);
+        secp256k1_ge_set_gej(&correction, &tmpj);
+        secp256k1_ge_to_storage(&correction_1_stor, a);
+#ifdef USE_ENDOMORPHISM
+        if (size > 128) {
+            secp256k1_ge_to_storage(&correction_lam_stor, a);
+        }
+#endif
+        secp256k1_ge_to_storage(&a2_stor, &correction);
+
+        /* For odd numbers this is 2a (so replace it), for even ones a (so no-op) */
+        secp256k1_ge_storage_cmov(&correction_1_stor, &a2_stor, skew_1 == 2);
+#ifdef USE_ENDOMORPHISM
+        if (size > 128) {
+            secp256k1_ge_storage_cmov(&correction_lam_stor, &a2_stor, skew_lam == 2);
+        }
+#endif
+
+        /* Apply the correction */
+        secp256k1_ge_from_storage(&correction, &correction_1_stor);
+        secp256k1_ge_neg(&correction, &correction);
+        secp256k1_gej_add_ge(r, r, &correction);
+
+#ifdef USE_ENDOMORPHISM
+        if (size > 128) {
+            secp256k1_ge_from_storage(&correction, &correction_lam_stor);
+            secp256k1_ge_neg(&correction, &correction);
+            secp256k1_ge_mul_lambda(&correction, &correction);
+            secp256k1_gej_add_ge(r, r, &correction);
+        }
+#endif
+    }
 }
 
 #endif /* SECP256K1_ECMULT_CONST_IMPL_H */

src/ecmult_gen.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECMULT_GEN_H
 #define SECP256K1_ECMULT_GEN_H
@@ -10,23 +10,30 @@
 #include "scalar.h"
 #include "group.h"
 
-#if ECMULT_GEN_PREC_BITS != 2 && ECMULT_GEN_PREC_BITS != 4 && ECMULT_GEN_PREC_BITS != 8
-#  error "Set ECMULT_GEN_PREC_BITS to 2, 4 or 8."
-#endif
-#define ECMULT_GEN_PREC_G(bits) (1 << bits)
-#define ECMULT_GEN_PREC_N(bits) (256 / bits)
-
 typedef struct {
-    /* Whether the context has been built. */
-    int built;
-
-    /* Blinding values used when computing (n-b)G + bG. */
-    secp256k1_scalar blind; /* -b */
-    secp256k1_gej initial;  /* bG */
+    /* For accelerating the computation of a*G:
+     * To harden against timing attacks, use the following mechanism:
+     * * Break up the multiplicand into groups of 4 bits, called n_0, n_1, n_2, ..., n_63.
+     * * Compute sum(n_i * 16^i * G + U_i, i=0..63), where:
+     *   * U_i = U * 2^i (for i=0..62)
+     *   * U_i = U * (1-2^63) (for i=63)
+     *   where U is a point with no known corresponding scalar. Note that sum(U_i, i=0..63) = 0.
+     * For each i, and each of the 16 possible values of n_i, (n_i * 16^i * G + U_i) is
+     * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0..63).
+     * None of the resulting prec group elements have a known scalar, and neither do any of
+     * the intermediate sums while computing a*G.
+     */
+    secp256k1_ge_storage (*prec)[64][16]; /* prec[j][i] = 16^j * i * G + U_i */
+    secp256k1_scalar blind;
+    secp256k1_gej initial;
 } secp256k1_ecmult_gen_context;
 
-static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx);
+static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
+static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context* ctx);
+static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context* ctx, void **prealloc);
+static void secp256k1_ecmult_gen_context_finalize_memcpy(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context* src);
 static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context* ctx);
+static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx);
 
 /** Multiply with the generator: R = a*G */
 static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context* ctx, secp256k1_gej *r, const secp256k1_scalar *a);

src/ecmult_gen_compute_table.h

@@ -1,14 +0,0 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell       *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
-
-#ifndef SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H
-#define SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H
-
-#include "ecmult_gen.h"
-
-static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int bits);
-
-#endif /* SECP256K1_ECMULT_GEN_COMPUTE_TABLE_H */

src/ecmult_gen_compute_table_impl.h

@@ -1,81 +0,0 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell       *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
-
-#ifndef SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H
-#define SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H
-
-#include "ecmult_gen_compute_table.h"
-#include "group_impl.h"
-#include "field_impl.h"
-#include "ecmult_gen.h"
-#include "util.h"
-
-static void secp256k1_ecmult_gen_compute_table(secp256k1_ge_storage* table, const secp256k1_ge* gen, int bits) {
-    int g = ECMULT_GEN_PREC_G(bits);
-    int n = ECMULT_GEN_PREC_N(bits);
-
-    secp256k1_ge* prec = checked_malloc(&default_error_callback, n * g * sizeof(*prec));
-    secp256k1_gej gj;
-    secp256k1_gej nums_gej;
-    int i, j;
-
-    /* get the generator */
-    secp256k1_gej_set_ge(&gj, gen);
-
-    /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */
-    {
-        static const unsigned char nums_b32[33] = "The scalar for this x is unknown";
-        secp256k1_fe nums_x;
-        secp256k1_ge nums_ge;
-        int r;
-        r = secp256k1_fe_set_b32(&nums_x, nums_b32);
-        (void)r;
-        VERIFY_CHECK(r);
-        r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0);
-        (void)r;
-        VERIFY_CHECK(r);
-        secp256k1_gej_set_ge(&nums_gej, &nums_ge);
-        /* Add G to make the bits in x uniformly distributed. */
-        secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, gen, NULL);
-    }
-
-    /* compute prec. */
-    {
-        secp256k1_gej gbase;
-        secp256k1_gej numsbase;
-        secp256k1_gej* precj = checked_malloc(&default_error_callback, n * g * sizeof(*precj));  /* Jacobian versions of prec. */
-        gbase = gj; /* PREC_G^j * G */
-        numsbase = nums_gej; /* 2^j * nums. */
-        for (j = 0; j < n; j++) {
-            /* Set precj[j*PREC_G .. j*PREC_G+(PREC_G-1)] to (numsbase, numsbase + gbase, ..., numsbase + (PREC_G-1)*gbase). */
-            precj[j*g] = numsbase;
-            for (i = 1; i < g; i++) {
-                secp256k1_gej_add_var(&precj[j*g + i], &precj[j*g + i - 1], &gbase, NULL);
-            }
-            /* Multiply gbase by PREC_G. */
-            for (i = 0; i < bits; i++) {
-                secp256k1_gej_double_var(&gbase, &gbase, NULL);
-            }
-            /* Multiply numbase by 2. */
-            secp256k1_gej_double_var(&numsbase, &numsbase, NULL);
-            if (j == n - 2) {
-                /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */
-                secp256k1_gej_neg(&numsbase, &numsbase);
-                secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL);
-            }
-        }
-        secp256k1_ge_set_all_gej_var(prec, precj, n * g);
-        free(precj);
-    }
-    for (j = 0; j < n; j++) {
-        for (i = 0; i < g; i++) {
-            secp256k1_ge_to_storage(&table[j*g + i], &prec[j*g + i]);
-        }
-    }
-    free(prec);
-}
-
-#endif /* SECP256K1_ECMULT_GEN_COMPUTE_TABLE_IMPL_H */

src/ecmult_gen_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell       *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Pieter Wuille, Gregory Maxwell      *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_ECMULT_GEN_IMPL_H
 #define SECP256K1_ECMULT_GEN_IMPL_H
@@ -12,54 +12,130 @@
 #include "group.h"
 #include "ecmult_gen.h"
 #include "hash_impl.h"
-#include "precomputed_ecmult_gen.h"
+#ifdef USE_ECMULT_STATIC_PRECOMPUTATION
+#include "ecmult_static_context.h"
+#endif
 
-static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx) {
+#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
+    static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = ROUND_TO_ALIGN(sizeof(*((secp256k1_ecmult_gen_context*) NULL)->prec));
+#else
+    static const size_t SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE = 0;
+#endif
+
+static void secp256k1_ecmult_gen_context_init(secp256k1_ecmult_gen_context *ctx) {
+    ctx->prec = NULL;
+}
+
+static void secp256k1_ecmult_gen_context_build(secp256k1_ecmult_gen_context *ctx, void **prealloc) {
+#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
+    secp256k1_ge prec[1024];
+    secp256k1_gej gj;
+    secp256k1_gej nums_gej;
+    int i, j;
+    size_t const prealloc_size = SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE;
+    void* const base = *prealloc;
+#endif
+
+    if (ctx->prec != NULL) {
+        return;
+    }
+#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
+    ctx->prec = (secp256k1_ge_storage (*)[64][16])manual_alloc(prealloc, prealloc_size, base, prealloc_size);
+
+    /* get the generator */
+    secp256k1_gej_set_ge(&gj, &secp256k1_ge_const_g);
+
+    /* Construct a group element with no known corresponding scalar (nothing up my sleeve). */
+    {
+        static const unsigned char nums_b32[33] = "The scalar for this x is unknown";
+        secp256k1_fe nums_x;
+        secp256k1_ge nums_ge;
+        int r;
+        r = secp256k1_fe_set_b32(&nums_x, nums_b32);
+        (void)r;
+        VERIFY_CHECK(r);
+        r = secp256k1_ge_set_xo_var(&nums_ge, &nums_x, 0);
+        (void)r;
+        VERIFY_CHECK(r);
+        secp256k1_gej_set_ge(&nums_gej, &nums_ge);
+        /* Add G to make the bits in x uniformly distributed. */
+        secp256k1_gej_add_ge_var(&nums_gej, &nums_gej, &secp256k1_ge_const_g, NULL);
+    }
+
+    /* compute prec. */
+    {
+        secp256k1_gej precj[1024]; /* Jacobian versions of prec. */
+        secp256k1_gej gbase;
+        secp256k1_gej numsbase;
+        gbase = gj; /* 16^j * G */
+        numsbase = nums_gej; /* 2^j * nums. */
+        for (j = 0; j < 64; j++) {
+            /* Set precj[j*16 .. j*16+15] to (numsbase, numsbase + gbase, ..., numsbase + 15*gbase). */
+            precj[j*16] = numsbase;
+            for (i = 1; i < 16; i++) {
+                secp256k1_gej_add_var(&precj[j*16 + i], &precj[j*16 + i - 1], &gbase, NULL);
+            }
+            /* Multiply gbase by 16. */
+            for (i = 0; i < 4; i++) {
+                secp256k1_gej_double_var(&gbase, &gbase, NULL);
+            }
+            /* Multiply numbase by 2. */
+            secp256k1_gej_double_var(&numsbase, &numsbase, NULL);
+            if (j == 62) {
+                /* In the last iteration, numsbase is (1 - 2^j) * nums instead. */
+                secp256k1_gej_neg(&numsbase, &numsbase);
+                secp256k1_gej_add_var(&numsbase, &numsbase, &nums_gej, NULL);
+            }
+        }
+        secp256k1_ge_set_all_gej_var(prec, precj, 1024);
+    }
+    for (j = 0; j < 64; j++) {
+        for (i = 0; i < 16; i++) {
+            secp256k1_ge_to_storage(&(*ctx->prec)[j][i], &prec[j*16 + i]);
+        }
+    }
+#else
+    (void)prealloc;
+    ctx->prec = (secp256k1_ge_storage (*)[64][16])secp256k1_ecmult_static_context;
+#endif
     secp256k1_ecmult_gen_blind(ctx, NULL);
-    ctx->built = 1;
 }
 
 static int secp256k1_ecmult_gen_context_is_built(const secp256k1_ecmult_gen_context* ctx) {
-    return ctx->built;
+    return ctx->prec != NULL;
+}
+
+static void secp256k1_ecmult_gen_context_finalize_memcpy(secp256k1_ecmult_gen_context *dst, const secp256k1_ecmult_gen_context *src) {
+#ifndef USE_ECMULT_STATIC_PRECOMPUTATION
+    if (src->prec != NULL) {
+        /* We cast to void* first to suppress a -Wcast-align warning. */
+        dst->prec = (secp256k1_ge_storage (*)[64][16])(void*)((unsigned char*)dst + ((unsigned char*)src->prec - (unsigned char*)src));
+    }
+#else
+    (void)dst, (void)src;
+#endif
 }
 
 static void secp256k1_ecmult_gen_context_clear(secp256k1_ecmult_gen_context *ctx) {
-    ctx->built = 0;
     secp256k1_scalar_clear(&ctx->blind);
     secp256k1_gej_clear(&ctx->initial);
+    ctx->prec = NULL;
 }
 
-/* For accelerating the computation of a*G:
- * To harden against timing attacks, use the following mechanism:
- * * Break up the multiplicand into groups of PREC_BITS bits, called n_0, n_1, n_2, ..., n_(PREC_N-1).
- * * Compute sum(n_i * (PREC_G)^i * G + U_i, i=0 ... PREC_N-1), where:
- *   * U_i = U * 2^i, for i=0 ... PREC_N-2
- *   * U_i = U * (1-2^(PREC_N-1)), for i=PREC_N-1
- *   where U is a point with no known corresponding scalar. Note that sum(U_i, i=0 ... PREC_N-1) = 0.
- * For each i, and each of the PREC_G possible values of n_i, (n_i * (PREC_G)^i * G + U_i) is
- * precomputed (call it prec(i, n_i)). The formula now becomes sum(prec(i, n_i), i=0 ... PREC_N-1).
- * None of the resulting prec group elements have a known scalar, and neither do any of
- * the intermediate sums while computing a*G.
- * The prec values are stored in secp256k1_ecmult_gen_prec_table[i][n_i] = n_i * (PREC_G)^i * G + U_i.
- */
 static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp256k1_gej *r, const secp256k1_scalar *gn) {
-    int bits = ECMULT_GEN_PREC_BITS;
-    int g = ECMULT_GEN_PREC_G(bits);
-    int n = ECMULT_GEN_PREC_N(bits);
-
     secp256k1_ge add;
     secp256k1_ge_storage adds;
     secp256k1_scalar gnb;
-    int i, j, n_i;
-    
+    int bits;
+    int i, j;
     memset(&adds, 0, sizeof(adds));
     *r = ctx->initial;
     /* Blind scalar/point multiplication by computing (n-b)G + bG instead of nG. */
     secp256k1_scalar_add(&gnb, gn, &ctx->blind);
     add.infinity = 0;
-    for (i = 0; i < n; i++) {
-        n_i = secp256k1_scalar_get_bits(&gnb, i * bits, bits);
-        for (j = 0; j < g; j++) {
+    for (j = 0; j < 64; j++) {
+        bits = secp256k1_scalar_get_bits(&gnb, j * 4, 4);
+        for (i = 0; i < 16; i++) {
             /** This uses a conditional move to avoid any secret data in array indexes.
              *   _Any_ use of secret indexes has been demonstrated to result in timing
              *   sidechannels, even when the cache-line access patterns are uniform.
@@ -68,14 +144,14 @@ static void secp256k1_ecmult_gen(const secp256k1_ecmult_gen_context *ctx, secp25
              *    (https://cryptojedi.org/peter/data/chesrump-20130822.pdf) and
              *   "Cache Attacks and Countermeasures: the Case of AES", RSA 2006,
              *    by Dag Arne Osvik, Adi Shamir, and Eran Tromer
-             *    (https://www.tau.ac.il/~tromer/papers/cache.pdf)
+             *    (http://www.tau.ac.il/~tromer/papers/cache.pdf)
              */
-            secp256k1_ge_storage_cmov(&adds, &secp256k1_ecmult_gen_prec_table[i][j], j == n_i);
+            secp256k1_ge_storage_cmov(&adds, &(*ctx->prec)[j][i], i == bits);
         }
         secp256k1_ge_from_storage(&add, &adds);
         secp256k1_gej_add_ge(r, r, &add);
     }
-    n_i = 0;
+    bits = 0;
     secp256k1_ge_clear(&add);
     secp256k1_scalar_clear(&gnb);
 }
@@ -87,7 +163,7 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const
     secp256k1_fe s;
     unsigned char nonce32[32];
     secp256k1_rfc6979_hmac_sha256 rng;
-    int overflow;
+    int retry;
     unsigned char keydata[64] = {0};
     if (seed32 == NULL) {
         /* When seed is NULL, reset the initial point and blinding value. */
@@ -107,18 +183,21 @@ static void secp256k1_ecmult_gen_blind(secp256k1_ecmult_gen_context *ctx, const
     }
     secp256k1_rfc6979_hmac_sha256_initialize(&rng, keydata, seed32 ? 64 : 32);
     memset(keydata, 0, sizeof(keydata));
-    /* Accept unobservably small non-uniformity. */
-    secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
-    overflow = !secp256k1_fe_set_b32(&s, nonce32);
-    overflow |= secp256k1_fe_is_zero(&s);
-    secp256k1_fe_cmov(&s, &secp256k1_fe_one, overflow);
+    /* Retry for out of range results to achieve uniformity. */
+    do {
+        secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
+        retry = !secp256k1_fe_set_b32(&s, nonce32);
+        retry = retry || secp256k1_fe_is_zero(&s);
+    } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > Fp. */
     /* Randomize the projection to defend against multiplier sidechannels. */
     secp256k1_gej_rescale(&ctx->initial, &s);
     secp256k1_fe_clear(&s);
-    secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
-    secp256k1_scalar_set_b32(&b, nonce32, NULL);
-    /* A blinding value of 0 works, but would undermine the projection hardening. */
-    secp256k1_scalar_cmov(&b, &secp256k1_scalar_one, secp256k1_scalar_is_zero(&b));
+    do {
+        secp256k1_rfc6979_hmac_sha256_generate(&rng, nonce32, 32);
+        secp256k1_scalar_set_b32(&b, nonce32, &retry);
+        /* A blinding value of 0 works, but would undermine the projection hardening. */
+        retry = retry || secp256k1_scalar_is_zero(&b);
+    } while (retry); /* This branch true is cryptographically unreachable. Requires sha256_hmac output > order. */
     secp256k1_rfc6979_hmac_sha256_finalize(&rng);
     memset(nonce32, 0, 32);
     secp256k1_ecmult_gen(ctx, &gb, &b);

src/field.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_H
 #define SECP256K1_FIELD_H
@@ -14,51 +14,42 @@
  *  - Each field element can be normalized or not.
  *  - Each field element has a magnitude, which represents how far away
  *    its representation is away from normalization. Normalized elements
- *    always have a magnitude of 0 or 1, but a magnitude of 1 doesn't
- *    imply normality.
+ *    always have a magnitude of 1, but a magnitude of 1 doesn't imply
+ *    normality.
  */
 
 #if defined HAVE_CONFIG_H
 #include "libsecp256k1-config.h"
 #endif
 
-#include "util.h"
-
-#if defined(SECP256K1_WIDEMUL_INT128)
-#include "field_5x52.h"
-#elif defined(SECP256K1_WIDEMUL_INT64)
+#if defined(USE_FIELD_10X26)
 #include "field_10x26.h"
+#elif defined(USE_FIELD_5X52)
+#include "field_5x52.h"
 #else
-#error "Please select wide multiplication implementation"
+#error "Please select field implementation"
 #endif
 
-static const secp256k1_fe secp256k1_fe_one = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
-static const secp256k1_fe secp256k1_const_beta = SECP256K1_FE_CONST(
-    0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul,
-    0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul
-);
+#include "util.h"
 
-/** Normalize a field element. This brings the field element to a canonical representation, reduces
- *  its magnitude to 1, and reduces it modulo field size `p`.
- */
+/** Normalize a field element. */
 static void secp256k1_fe_normalize(secp256k1_fe *r);
 
-/** Weakly normalize a field element: reduce its magnitude to 1, but don't fully normalize. */
+/** Weakly normalize a field element: reduce it magnitude to 1, but don't fully normalize. */
 static void secp256k1_fe_normalize_weak(secp256k1_fe *r);
 
 /** Normalize a field element, without constant-time guarantee. */
 static void secp256k1_fe_normalize_var(secp256k1_fe *r);
 
-/** Verify whether a field element represents zero i.e. would normalize to a zero value. */
-static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r);
+/** Verify whether a field element represents zero i.e. would normalize to a zero value. The field
+ *  implementation may optionally normalize the input, but this should not be relied upon. */
+static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r);
 
-/** Verify whether a field element represents zero i.e. would normalize to a zero value,
- *  without constant-time guarantee. */
-static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r);
+/** Verify whether a field element represents zero i.e. would normalize to a zero value. The field
+ *  implementation may optionally normalize the input, but this should not be relied upon. */
+static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r);
 
-/** Set a field element equal to a small (not greater than 0x7FFF), non-negative integer.
- *  Resulting field element is normalized; it has magnitude 0 if a == 0, and magnitude 1 otherwise.
- */
+/** Set a field element equal to a small integer. Resulting field element is normalized. */
 static void secp256k1_fe_set_int(secp256k1_fe *r, int a);
 
 /** Sets a field element equal to zero, initializing all fields. */
@@ -121,25 +112,21 @@ static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a);
 /** Potentially faster version of secp256k1_fe_inv, without constant-time guarantee. */
 static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a);
 
+/** Calculate the (modular) inverses of a batch of field elements. Requires the inputs' magnitudes to be
+ *  at most 8. The output magnitudes are 1 (but not guaranteed to be normalized). The inputs and
+ *  outputs must not overlap in memory. */
+static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len);
+
 /** Convert a field element to the storage type. */
 static void secp256k1_fe_to_storage(secp256k1_fe_storage *r, const secp256k1_fe *a);
 
 /** Convert a field element back from the storage type. */
 static void secp256k1_fe_from_storage(secp256k1_fe *r, const secp256k1_fe_storage *a);
 
-/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time.  Both *r and *a must be initialized.*/
+/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */
 static void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag);
 
-/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time.  Both *r and *a must be initialized.*/
+/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */
 static void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag);
 
-/** Halves the value of a field element modulo the field prime. Constant-time.
- *  For an input magnitude 'm', the output magnitude is set to 'floor(m/2) + 1'.
- *  The output is not guaranteed to be normalized, regardless of the input. */
-static void secp256k1_fe_half(secp256k1_fe *r);
-
-/** Sets each limb of 'r' to its upper bound at magnitude 'm'. The output will also have its
- *  magnitude set to 'm' and is normalized if (and only if) 'm' is zero. */
-static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m);
-
 #endif /* SECP256K1_FIELD_H */

src/field_10x26.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_REPR_H
 #define SECP256K1_FIELD_REPR_H

src/field_10x26_impl.h

@@ -1,24 +1,14 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_REPR_IMPL_H
 #define SECP256K1_FIELD_REPR_IMPL_H
 
 #include "util.h"
 #include "field.h"
-#include "modinv32_impl.h"
-
-/** See the comment at the top of field_5x52_impl.h for more details.
- *
- *  Here, we represent field elements as 10 uint32_t's in base 2^26, least significant first,
- *  where limbs can contain >26 bits.
- *  A magnitude M means:
- *  - 2*M*(2^22-1) is the max (inclusive) of the most significant limb
- *  - 2*M*(2^26-1) is the max (inclusive) of the remaining limbs
- */
 
 #ifdef VERIFY
 static void secp256k1_fe_verify(const secp256k1_fe *a) {
@@ -49,26 +39,6 @@ static void secp256k1_fe_verify(const secp256k1_fe *a) {
 }
 #endif
 
-static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m) {
-    VERIFY_CHECK(m >= 0);
-    VERIFY_CHECK(m <= 2048);
-    r->n[0] = 0x3FFFFFFUL * 2 * m;
-    r->n[1] = 0x3FFFFFFUL * 2 * m;
-    r->n[2] = 0x3FFFFFFUL * 2 * m;
-    r->n[3] = 0x3FFFFFFUL * 2 * m;
-    r->n[4] = 0x3FFFFFFUL * 2 * m;
-    r->n[5] = 0x3FFFFFFUL * 2 * m;
-    r->n[6] = 0x3FFFFFFUL * 2 * m;
-    r->n[7] = 0x3FFFFFFUL * 2 * m;
-    r->n[8] = 0x3FFFFFFUL * 2 * m;
-    r->n[9] = 0x03FFFFFUL * 2 * m;
-#ifdef VERIFY
-    r->magnitude = m;
-    r->normalized = (m == 0);
-    secp256k1_fe_verify(r);
-#endif
-}
-
 static void secp256k1_fe_normalize(secp256k1_fe *r) {
     uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4],
              t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9];
@@ -211,7 +181,7 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) {
 #endif
 }
 
-static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) {
     uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4],
              t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9];
 
@@ -240,7 +210,7 @@ static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) {
     return (z0 == 0) | (z1 == 0x3FFFFFFUL);
 }
 
-static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) {
     uint32_t t0, t1, t2, t3, t4, t5, t6, t7, t8, t9;
     uint32_t z0, z1;
     uint32_t x;
@@ -293,11 +263,10 @@ static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) {
 }
 
 SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) {
-    VERIFY_CHECK(0 <= a && a <= 0x7FFF);
     r->n[0] = a;
     r->n[1] = r->n[2] = r->n[3] = r->n[4] = r->n[5] = r->n[6] = r->n[7] = r->n[8] = r->n[9] = 0;
 #ifdef VERIFY
-    r->magnitude = (a != 0);
+    r->magnitude = 1;
     r->normalized = 1;
     secp256k1_fe_verify(r);
 #endif
@@ -351,7 +320,6 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) {
 }
 
 static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) {
-    int ret;
     r->n[0] = (uint32_t)a[31] | ((uint32_t)a[30] << 8) | ((uint32_t)a[29] << 16) | ((uint32_t)(a[28] & 0x3) << 24);
     r->n[1] = (uint32_t)((a[28] >> 2) & 0x3f) | ((uint32_t)a[27] << 6) | ((uint32_t)a[26] << 14) | ((uint32_t)(a[25] & 0xf) << 22);
     r->n[2] = (uint32_t)((a[25] >> 4) & 0xf) | ((uint32_t)a[24] << 4) | ((uint32_t)a[23] << 12) | ((uint32_t)(a[22] & 0x3f) << 20);
@@ -363,17 +331,15 @@ static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) {
     r->n[8] = (uint32_t)a[5] | ((uint32_t)a[4] << 8) | ((uint32_t)a[3] << 16) | ((uint32_t)(a[2] & 0x3) << 24);
     r->n[9] = (uint32_t)((a[2] >> 2) & 0x3f) | ((uint32_t)a[1] << 6) | ((uint32_t)a[0] << 14);
 
-    ret = !((r->n[9] == 0x3FFFFFUL) & ((r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL) & ((r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL));
+    if (r->n[9] == 0x3FFFFFUL && (r->n[8] & r->n[7] & r->n[6] & r->n[5] & r->n[4] & r->n[3] & r->n[2]) == 0x3FFFFFFUL && (r->n[1] + 0x40UL + ((r->n[0] + 0x3D1UL) >> 26)) > 0x3FFFFFFUL) {
+        return 0;
+    }
 #ifdef VERIFY
     r->magnitude = 1;
-    if (ret) {
-        r->normalized = 1;
-        secp256k1_fe_verify(r);
-    } else {
-        r->normalized = 0;
-    }
+    r->normalized = 1;
+    secp256k1_fe_verify(r);
 #endif
-    return ret;
+    return 1;
 }
 
 /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */
@@ -420,10 +386,6 @@ SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k
 #ifdef VERIFY
     VERIFY_CHECK(a->magnitude <= m);
     secp256k1_fe_verify(a);
-    VERIFY_CHECK(0x3FFFC2FUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m);
-    VERIFY_CHECK(0x3FFFFBFUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m);
-    VERIFY_CHECK(0x3FFFFFFUL * 2 * (m + 1) >= 0x3FFFFFFUL * 2 * m);
-    VERIFY_CHECK(0x03FFFFFUL * 2 * (m + 1) >= 0x03FFFFFUL * 2 * m);
 #endif
     r->n[0] = 0x3FFFC2FUL * 2 * (m + 1) - a->n[0];
     r->n[1] = 0x3FFFFBFUL * 2 * (m + 1) - a->n[1];
@@ -1132,7 +1094,6 @@ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) {
 
 static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) {
     uint32_t mask0, mask1;
-    VG_CHECK_VERIFY(r->n, sizeof(r->n));
     mask0 = flag + ~((uint32_t)0);
     mask1 = ~mask0;
     r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
@@ -1146,92 +1107,15 @@ static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_
     r->n[8] = (r->n[8] & mask0) | (a->n[8] & mask1);
     r->n[9] = (r->n[9] & mask0) | (a->n[9] & mask1);
 #ifdef VERIFY
-    if (flag) {
+    if (a->magnitude > r->magnitude) {
         r->magnitude = a->magnitude;
-        r->normalized = a->normalized;
     }
-#endif
-}
-
-static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) {
-    uint32_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4],
-             t5 = r->n[5], t6 = r->n[6], t7 = r->n[7], t8 = r->n[8], t9 = r->n[9];
-    uint32_t one = (uint32_t)1;
-    uint32_t mask = -(t0 & one) >> 6;
-
-#ifdef VERIFY
-    secp256k1_fe_verify(r);
-    VERIFY_CHECK(r->magnitude < 32);
-#endif
-
-    /* Bounds analysis (over the rationals).
-     *
-     * Let m = r->magnitude
-     *     C = 0x3FFFFFFUL * 2
-     *     D = 0x03FFFFFUL * 2
-     *
-     * Initial bounds: t0..t8 <= C * m
-     *                     t9 <= D * m
-     */
-
-    t0 += 0x3FFFC2FUL & mask;
-    t1 += 0x3FFFFBFUL & mask;
-    t2 += mask;
-    t3 += mask;
-    t4 += mask;
-    t5 += mask;
-    t6 += mask;
-    t7 += mask;
-    t8 += mask;
-    t9 += mask >> 4;
-
-    VERIFY_CHECK((t0 & one) == 0);
-
-    /* t0..t8: added <= C/2
-     *     t9: added <= D/2
-     *
-     * Current bounds: t0..t8 <= C * (m + 1/2)
-     *                     t9 <= D * (m + 1/2)
-     */
-
-    r->n[0] = (t0 >> 1) + ((t1 & one) << 25);
-    r->n[1] = (t1 >> 1) + ((t2 & one) << 25);
-    r->n[2] = (t2 >> 1) + ((t3 & one) << 25);
-    r->n[3] = (t3 >> 1) + ((t4 & one) << 25);
-    r->n[4] = (t4 >> 1) + ((t5 & one) << 25);
-    r->n[5] = (t5 >> 1) + ((t6 & one) << 25);
-    r->n[6] = (t6 >> 1) + ((t7 & one) << 25);
-    r->n[7] = (t7 >> 1) + ((t8 & one) << 25);
-    r->n[8] = (t8 >> 1) + ((t9 & one) << 25);
-    r->n[9] = (t9 >> 1);
-
-    /* t0..t8: shifted right and added <= C/4 + 1/2
-     *     t9: shifted right
-     *
-     * Current bounds: t0..t8 <= C * (m/2 + 1/2)
-     *                     t9 <= D * (m/2 + 1/4)
-     */
-
-#ifdef VERIFY
-    /* Therefore the output magnitude (M) has to be set such that:
-     *     t0..t8: C * M >= C * (m/2 + 1/2)
-     *         t9: D * M >= D * (m/2 + 1/4)
-     *
-     * It suffices for all limbs that, for any input magnitude m:
-     *     M >= m/2 + 1/2
-     *
-     * and since we want the smallest such integer value for M:
-     *     M == floor(m/2) + 1
-     */
-    r->magnitude = (r->magnitude >> 1) + 1;
-    r->normalized = 0;
-    secp256k1_fe_verify(r);
+    r->normalized &= a->normalized;
 #endif
 }
 
 static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) {
     uint32_t mask0, mask1;
-    VG_CHECK_VERIFY(r->n, sizeof(r->n));
     mask0 = flag + ~((uint32_t)0);
     mask1 = ~mask0;
     r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
@@ -1272,96 +1156,7 @@ static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const se
 #ifdef VERIFY
     r->magnitude = 1;
     r->normalized = 1;
-    secp256k1_fe_verify(r);
 #endif
 }
 
-static void secp256k1_fe_from_signed30(secp256k1_fe *r, const secp256k1_modinv32_signed30 *a) {
-    const uint32_t M26 = UINT32_MAX >> 6;
-    const uint32_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4],
-                   a5 = a->v[5], a6 = a->v[6], a7 = a->v[7], a8 = a->v[8];
-
-    /* The output from secp256k1_modinv32{_var} should be normalized to range [0,modulus), and
-     * have limbs in [0,2^30). The modulus is < 2^256, so the top limb must be below 2^(256-30*8).
-     */
-    VERIFY_CHECK(a0 >> 30 == 0);
-    VERIFY_CHECK(a1 >> 30 == 0);
-    VERIFY_CHECK(a2 >> 30 == 0);
-    VERIFY_CHECK(a3 >> 30 == 0);
-    VERIFY_CHECK(a4 >> 30 == 0);
-    VERIFY_CHECK(a5 >> 30 == 0);
-    VERIFY_CHECK(a6 >> 30 == 0);
-    VERIFY_CHECK(a7 >> 30 == 0);
-    VERIFY_CHECK(a8 >> 16 == 0);
-
-    r->n[0] =  a0                   & M26;
-    r->n[1] = (a0 >> 26 | a1 <<  4) & M26;
-    r->n[2] = (a1 >> 22 | a2 <<  8) & M26;
-    r->n[3] = (a2 >> 18 | a3 << 12) & M26;
-    r->n[4] = (a3 >> 14 | a4 << 16) & M26;
-    r->n[5] = (a4 >> 10 | a5 << 20) & M26;
-    r->n[6] = (a5 >>  6 | a6 << 24) & M26;
-    r->n[7] = (a6 >>  2           ) & M26;
-    r->n[8] = (a6 >> 28 | a7 <<  2) & M26;
-    r->n[9] = (a7 >> 24 | a8 <<  6);
-
-#ifdef VERIFY
-    r->magnitude = 1;
-    r->normalized = 1;
-    secp256k1_fe_verify(r);
-#endif
-}
-
-static void secp256k1_fe_to_signed30(secp256k1_modinv32_signed30 *r, const secp256k1_fe *a) {
-    const uint32_t M30 = UINT32_MAX >> 2;
-    const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4],
-                   a5 = a->n[5], a6 = a->n[6], a7 = a->n[7], a8 = a->n[8], a9 = a->n[9];
-
-#ifdef VERIFY
-    VERIFY_CHECK(a->normalized);
-#endif
-
-    r->v[0] = (a0       | a1 << 26) & M30;
-    r->v[1] = (a1 >>  4 | a2 << 22) & M30;
-    r->v[2] = (a2 >>  8 | a3 << 18) & M30;
-    r->v[3] = (a3 >> 12 | a4 << 14) & M30;
-    r->v[4] = (a4 >> 16 | a5 << 10) & M30;
-    r->v[5] = (a5 >> 20 | a6 <<  6) & M30;
-    r->v[6] = (a6 >> 24 | a7 <<  2
-                        | a8 << 28) & M30;
-    r->v[7] = (a8 >>  2 | a9 << 24) & M30;
-    r->v[8] =  a9 >>  6;
-}
-
-static const secp256k1_modinv32_modinfo secp256k1_const_modinfo_fe = {
-    {{-0x3D1, -4, 0, 0, 0, 0, 0, 0, 65536}},
-    0x2DDACACFL
-};
-
-static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) {
-    secp256k1_fe tmp;
-    secp256k1_modinv32_signed30 s;
-
-    tmp = *x;
-    secp256k1_fe_normalize(&tmp);
-    secp256k1_fe_to_signed30(&s, &tmp);
-    secp256k1_modinv32(&s, &secp256k1_const_modinfo_fe);
-    secp256k1_fe_from_signed30(r, &s);
-
-    VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
-}
-
-static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) {
-    secp256k1_fe tmp;
-    secp256k1_modinv32_signed30 s;
-
-    tmp = *x;
-    secp256k1_fe_normalize_var(&tmp);
-    secp256k1_fe_to_signed30(&s, &tmp);
-    secp256k1_modinv32_var(&s, &secp256k1_const_modinfo_fe);
-    secp256k1_fe_from_signed30(r, &s);
-
-    VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
-}
-
 #endif /* SECP256K1_FIELD_REPR_IMPL_H */

src/field_5x52.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_REPR_H
 #define SECP256K1_FIELD_REPR_H
@@ -46,10 +46,4 @@ typedef struct {
     (d6) | (((uint64_t)(d7)) << 32) \
 }}
 
-#define SECP256K1_FE_STORAGE_CONST_GET(d) \
-    (uint32_t)(d.n[3] >> 32), (uint32_t)d.n[3], \
-    (uint32_t)(d.n[2] >> 32), (uint32_t)d.n[2], \
-    (uint32_t)(d.n[1] >> 32), (uint32_t)d.n[1], \
-    (uint32_t)(d.n[0] >> 32), (uint32_t)d.n[0]
-
 #endif /* SECP256K1_FIELD_REPR_H */

src/field_5x52_asm_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille                *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille               *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 /**
  * Changelog:

src/field_5x52_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_REPR_IMPL_H
 #define SECP256K1_FIELD_REPR_IMPL_H
@@ -13,7 +13,6 @@
 
 #include "util.h"
 #include "field.h"
-#include "modinv64_impl.h"
 
 #if defined(USE_ASM_X86_64)
 #include "field_5x52_asm_impl.h"
@@ -22,18 +21,11 @@
 #endif
 
 /** Implements arithmetic modulo FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F,
- *  represented as 5 uint64_t's in base 2^52, least significant first. Note that the limbs are allowed to
- *  contain >52 bits each.
- *
- *  Each field element has a 'magnitude' associated with it. Internally, a magnitude M means:
- *  - 2*M*(2^48-1) is the max (inclusive) of the most significant limb
- *  - 2*M*(2^52-1) is the max (inclusive) of the remaining limbs
- *
- *  Operations have different rules for propagating magnitude to their outputs. If an operation takes a
- *  magnitude M as a parameter, that means the magnitude of input field elements can be at most M (inclusive).
- *
- *  Each field element also has a 'normalized' flag. A field element is normalized if its magnitude is either
- *  0 or 1, and its value is already reduced modulo the order of the field.
+ *  represented as 5 uint64_t's in base 2^52. The values are allowed to contain >52 each. In particular,
+ *  each FieldElem has a 'magnitude' associated with it. Internally, a magnitude M means each element
+ *  is at most M*(2^53-1), except the most significant one, which is limited to M*(2^49-1). All operations
+ *  accept any input with magnitude at most M, and have different rules for propagating magnitude to their
+ *  output.
  */
 
 #ifdef VERIFY
@@ -58,21 +50,6 @@ static void secp256k1_fe_verify(const secp256k1_fe *a) {
 }
 #endif
 
-static void secp256k1_fe_get_bounds(secp256k1_fe *r, int m) {
-    VERIFY_CHECK(m >= 0);
-    VERIFY_CHECK(m <= 2048);
-    r->n[0] = 0xFFFFFFFFFFFFFULL * 2 * m;
-    r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * m;
-    r->n[2] = 0xFFFFFFFFFFFFFULL * 2 * m;
-    r->n[3] = 0xFFFFFFFFFFFFFULL * 2 * m;
-    r->n[4] = 0x0FFFFFFFFFFFFULL * 2 * m;
-#ifdef VERIFY
-    r->magnitude = m;
-    r->normalized = (m == 0);
-    secp256k1_fe_verify(r);
-#endif
-}
-
 static void secp256k1_fe_normalize(secp256k1_fe *r) {
     uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4];
 
@@ -184,7 +161,7 @@ static void secp256k1_fe_normalize_var(secp256k1_fe *r) {
 #endif
 }
 
-static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero(secp256k1_fe *r) {
     uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4];
 
     /* z0 tracks a possible raw value of 0, z1 tracks a possible raw value of P */
@@ -207,7 +184,7 @@ static int secp256k1_fe_normalizes_to_zero(const secp256k1_fe *r) {
     return (z0 == 0) | (z1 == 0xFFFFFFFFFFFFFULL);
 }
 
-static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) {
+static int secp256k1_fe_normalizes_to_zero_var(secp256k1_fe *r) {
     uint64_t t0, t1, t2, t3, t4;
     uint64_t z0, z1;
     uint64_t x;
@@ -249,11 +226,10 @@ static int secp256k1_fe_normalizes_to_zero_var(const secp256k1_fe *r) {
 }
 
 SECP256K1_INLINE static void secp256k1_fe_set_int(secp256k1_fe *r, int a) {
-    VERIFY_CHECK(0 <= a && a <= 0x7FFF);
     r->n[0] = a;
     r->n[1] = r->n[2] = r->n[3] = r->n[4] = 0;
 #ifdef VERIFY
-    r->magnitude = (a != 0);
+    r->magnitude = 1;
     r->normalized = 1;
     secp256k1_fe_verify(r);
 #endif
@@ -307,7 +283,6 @@ static int secp256k1_fe_cmp_var(const secp256k1_fe *a, const secp256k1_fe *b) {
 }
 
 static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) {
-    int ret;
     r->n[0] = (uint64_t)a[31]
             | ((uint64_t)a[30] << 8)
             | ((uint64_t)a[29] << 16)
@@ -342,17 +317,15 @@ static int secp256k1_fe_set_b32(secp256k1_fe *r, const unsigned char *a) {
             | ((uint64_t)a[2] << 24)
             | ((uint64_t)a[1] << 32)
             | ((uint64_t)a[0] << 40);
-    ret = !((r->n[4] == 0x0FFFFFFFFFFFFULL) & ((r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL) & (r->n[0] >= 0xFFFFEFFFFFC2FULL));
+    if (r->n[4] == 0x0FFFFFFFFFFFFULL && (r->n[3] & r->n[2] & r->n[1]) == 0xFFFFFFFFFFFFFULL && r->n[0] >= 0xFFFFEFFFFFC2FULL) {
+        return 0;
+    }
 #ifdef VERIFY
     r->magnitude = 1;
-    if (ret) {
-        r->normalized = 1;
-        secp256k1_fe_verify(r);
-    } else {
-        r->normalized = 0;
-    }
+    r->normalized = 1;
+    secp256k1_fe_verify(r);
 #endif
-    return ret;
+    return 1;
 }
 
 /** Convert a field element to a 32-byte big endian value. Requires the input to be normalized */
@@ -399,9 +372,6 @@ SECP256K1_INLINE static void secp256k1_fe_negate(secp256k1_fe *r, const secp256k
 #ifdef VERIFY
     VERIFY_CHECK(a->magnitude <= m);
     secp256k1_fe_verify(a);
-    VERIFY_CHECK(0xFFFFEFFFFFC2FULL * 2 * (m + 1) >= 0xFFFFFFFFFFFFFULL * 2 * m);
-    VERIFY_CHECK(0xFFFFFFFFFFFFFULL * 2 * (m + 1) >= 0xFFFFFFFFFFFFFULL * 2 * m);
-    VERIFY_CHECK(0x0FFFFFFFFFFFFULL * 2 * (m + 1) >= 0x0FFFFFFFFFFFFULL * 2 * m);
 #endif
     r->n[0] = 0xFFFFEFFFFFC2FULL * 2 * (m + 1) - a->n[0];
     r->n[1] = 0xFFFFFFFFFFFFFULL * 2 * (m + 1) - a->n[1];
@@ -476,7 +446,6 @@ static void secp256k1_fe_sqr(secp256k1_fe *r, const secp256k1_fe *a) {
 
 static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_fe *a, int flag) {
     uint64_t mask0, mask1;
-    VG_CHECK_VERIFY(r->n, sizeof(r->n));
     mask0 = flag + ~((uint64_t)0);
     mask1 = ~mask0;
     r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
@@ -485,81 +454,15 @@ static SECP256K1_INLINE void secp256k1_fe_cmov(secp256k1_fe *r, const secp256k1_
     r->n[3] = (r->n[3] & mask0) | (a->n[3] & mask1);
     r->n[4] = (r->n[4] & mask0) | (a->n[4] & mask1);
 #ifdef VERIFY
-    if (flag) {
+    if (a->magnitude > r->magnitude) {
         r->magnitude = a->magnitude;
-        r->normalized = a->normalized;
     }
-#endif
-}
-
-static SECP256K1_INLINE void secp256k1_fe_half(secp256k1_fe *r) {
-    uint64_t t0 = r->n[0], t1 = r->n[1], t2 = r->n[2], t3 = r->n[3], t4 = r->n[4];
-    uint64_t one = (uint64_t)1;
-    uint64_t mask = -(t0 & one) >> 12;
-
-#ifdef VERIFY
-    secp256k1_fe_verify(r);
-    VERIFY_CHECK(r->magnitude < 32);
-#endif
-
-    /* Bounds analysis (over the rationals).
-     *
-     * Let m = r->magnitude
-     *     C = 0xFFFFFFFFFFFFFULL * 2
-     *     D = 0x0FFFFFFFFFFFFULL * 2
-     *
-     * Initial bounds: t0..t3 <= C * m
-     *                     t4 <= D * m
-     */
-
-    t0 += 0xFFFFEFFFFFC2FULL & mask;
-    t1 += mask;
-    t2 += mask;
-    t3 += mask;
-    t4 += mask >> 4;
-
-    VERIFY_CHECK((t0 & one) == 0);
-
-    /* t0..t3: added <= C/2
-     *     t4: added <= D/2
-     *
-     * Current bounds: t0..t3 <= C * (m + 1/2)
-     *                     t4 <= D * (m + 1/2)
-     */
-
-    r->n[0] = (t0 >> 1) + ((t1 & one) << 51);
-    r->n[1] = (t1 >> 1) + ((t2 & one) << 51);
-    r->n[2] = (t2 >> 1) + ((t3 & one) << 51);
-    r->n[3] = (t3 >> 1) + ((t4 & one) << 51);
-    r->n[4] = (t4 >> 1);
-
-    /* t0..t3: shifted right and added <= C/4 + 1/2
-     *     t4: shifted right
-     *
-     * Current bounds: t0..t3 <= C * (m/2 + 1/2)
-     *                     t4 <= D * (m/2 + 1/4)
-     */
-
-#ifdef VERIFY
-    /* Therefore the output magnitude (M) has to be set such that:
-     *     t0..t3: C * M >= C * (m/2 + 1/2)
-     *         t4: D * M >= D * (m/2 + 1/4)
-     *
-     * It suffices for all limbs that, for any input magnitude m:
-     *     M >= m/2 + 1/2
-     *
-     * and since we want the smallest such integer value for M:
-     *     M == floor(m/2) + 1
-     */
-    r->magnitude = (r->magnitude >> 1) + 1;
-    r->normalized = 0;
-    secp256k1_fe_verify(r);
+    r->normalized &= a->normalized;
 #endif
 }
 
 static SECP256K1_INLINE void secp256k1_fe_storage_cmov(secp256k1_fe_storage *r, const secp256k1_fe_storage *a, int flag) {
     uint64_t mask0, mask1;
-    VG_CHECK_VERIFY(r->n, sizeof(r->n));
     mask0 = flag + ~((uint64_t)0);
     mask1 = ~mask0;
     r->n[0] = (r->n[0] & mask0) | (a->n[0] & mask1);
@@ -587,83 +490,6 @@ static SECP256K1_INLINE void secp256k1_fe_from_storage(secp256k1_fe *r, const se
 #ifdef VERIFY
     r->magnitude = 1;
     r->normalized = 1;
-    secp256k1_fe_verify(r);
-#endif
-}
-
-static void secp256k1_fe_from_signed62(secp256k1_fe *r, const secp256k1_modinv64_signed62 *a) {
-    const uint64_t M52 = UINT64_MAX >> 12;
-    const uint64_t a0 = a->v[0], a1 = a->v[1], a2 = a->v[2], a3 = a->v[3], a4 = a->v[4];
-
-    /* The output from secp256k1_modinv64{_var} should be normalized to range [0,modulus), and
-     * have limbs in [0,2^62). The modulus is < 2^256, so the top limb must be below 2^(256-62*4).
-     */
-    VERIFY_CHECK(a0 >> 62 == 0);
-    VERIFY_CHECK(a1 >> 62 == 0);
-    VERIFY_CHECK(a2 >> 62 == 0);
-    VERIFY_CHECK(a3 >> 62 == 0);
-    VERIFY_CHECK(a4 >> 8 == 0);
-
-    r->n[0] =  a0                   & M52;
-    r->n[1] = (a0 >> 52 | a1 << 10) & M52;
-    r->n[2] = (a1 >> 42 | a2 << 20) & M52;
-    r->n[3] = (a2 >> 32 | a3 << 30) & M52;
-    r->n[4] = (a3 >> 22 | a4 << 40);
-
-#ifdef VERIFY
-    r->magnitude = 1;
-    r->normalized = 1;
-    secp256k1_fe_verify(r);
-#endif
-}
-
-static void secp256k1_fe_to_signed62(secp256k1_modinv64_signed62 *r, const secp256k1_fe *a) {
-    const uint64_t M62 = UINT64_MAX >> 2;
-    const uint64_t a0 = a->n[0], a1 = a->n[1], a2 = a->n[2], a3 = a->n[3], a4 = a->n[4];
-
-#ifdef VERIFY
-    VERIFY_CHECK(a->normalized);
-#endif
-
-    r->v[0] = (a0       | a1 << 52) & M62;
-    r->v[1] = (a1 >> 10 | a2 << 42) & M62;
-    r->v[2] = (a2 >> 20 | a3 << 32) & M62;
-    r->v[3] = (a3 >> 30 | a4 << 22) & M62;
-    r->v[4] =  a4 >> 40;
-}
-
-static const secp256k1_modinv64_modinfo secp256k1_const_modinfo_fe = {
-    {{-0x1000003D1LL, 0, 0, 0, 256}},
-    0x27C7F6E22DDACACFLL
-};
-
-static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *x) {
-    secp256k1_fe tmp;
-    secp256k1_modinv64_signed62 s;
-
-    tmp = *x;
-    secp256k1_fe_normalize(&tmp);
-    secp256k1_fe_to_signed62(&s, &tmp);
-    secp256k1_modinv64(&s, &secp256k1_const_modinfo_fe);
-    secp256k1_fe_from_signed62(r, &s);
-
-#ifdef VERIFY
-    VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
-#endif
-}
-
-static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *x) {
-    secp256k1_fe tmp;
-    secp256k1_modinv64_signed62 s;
-
-    tmp = *x;
-    secp256k1_fe_normalize_var(&tmp);
-    secp256k1_fe_to_signed62(&s, &tmp);
-    secp256k1_modinv64_var(&s, &secp256k1_const_modinfo_fe);
-    secp256k1_fe_from_signed62(r, &s);
-
-#ifdef VERIFY
-    VERIFY_CHECK(secp256k1_fe_normalizes_to_zero(r) == secp256k1_fe_normalizes_to_zero(&tmp));
 #endif
 }
 

src/field_5x52_int128_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_INNER5X52_IMPL_H
 #define SECP256K1_FIELD_INNER5X52_IMPL_H
@@ -49,14 +49,14 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t
     c  = (uint128_t)a4 * b[4];
     VERIFY_BITS(c, 112);
     /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
-    d += (uint128_t)R * (uint64_t)c; c >>= 64;
+    d += (c & M) * R; c >>= 52;
     VERIFY_BITS(d, 115);
-    VERIFY_BITS(c, 48);
-    /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+    VERIFY_BITS(c, 60);
+    /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
     t3 = d & M; d >>= 52;
     VERIFY_BITS(t3, 52);
     VERIFY_BITS(d, 63);
-    /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+    /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
 
     d += (uint128_t)a0 * b[4]
        + (uint128_t)a1 * b[3]
@@ -64,8 +64,8 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t
        + (uint128_t)a3 * b[1]
        + (uint128_t)a4 * b[0];
     VERIFY_BITS(d, 115);
-    /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
-    d += (uint128_t)(R << 12) * (uint64_t)c;
+    /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
+    d += c * R;
     VERIFY_BITS(d, 116);
     /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
     t4 = d & M; d >>= 52;
@@ -129,16 +129,17 @@ SECP256K1_INLINE static void secp256k1_fe_mul_inner(uint64_t *r, const uint64_t
        + (uint128_t)a4 * b[3];
     VERIFY_BITS(d, 114);
     /* [d 0 0 t4 t3 c t1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
-    c += (uint128_t)R * (uint64_t)d; d >>= 64;
+    c += (d & M) * R; d >>= 52;
     VERIFY_BITS(c, 115);
-    VERIFY_BITS(d, 50);
-    /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+    VERIFY_BITS(d, 62);
+    /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
 
+    /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
     r[2] = c & M; c >>= 52;
     VERIFY_BITS(r[2], 52);
     VERIFY_BITS(c, 63);
-    /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
-    c   += (uint128_t)(R << 12) * (uint64_t)d + t3;
+    /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+    c   += d * R + t3;
     VERIFY_BITS(c, 100);
     /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
     r[3] = c & M; c >>= 52;
@@ -177,22 +178,22 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t
     c  = (uint128_t)a4 * a4;
     VERIFY_BITS(c, 112);
     /* [c 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
-    d += (uint128_t)R * (uint64_t)c; c >>= 64;
+    d += (c & M) * R; c >>= 52;
     VERIFY_BITS(d, 115);
-    VERIFY_BITS(c, 48);
-    /* [(c<<12) 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+    VERIFY_BITS(c, 60);
+    /* [c 0 0 0 0 0 d 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
     t3 = d & M; d >>= 52;
     VERIFY_BITS(t3, 52);
     VERIFY_BITS(d, 63);
-    /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
+    /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 0 p3 0 0 0] */
 
     a4 *= 2;
     d += (uint128_t)a0 * a4
        + (uint128_t)(a1*2) * a3
        + (uint128_t)a2 * a2;
     VERIFY_BITS(d, 115);
-    /* [(c<<12) 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
-    d += (uint128_t)(R << 12) * (uint64_t)c;
+    /* [c 0 0 0 0 d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
+    d += c * R;
     VERIFY_BITS(d, 116);
     /* [d t3 0 0 0] = [p8 0 0 0 p4 p3 0 0 0] */
     t4 = d & M; d >>= 52;
@@ -251,16 +252,16 @@ SECP256K1_INLINE static void secp256k1_fe_sqr_inner(uint64_t *r, const uint64_t
     d += (uint128_t)a3 * a4;
     VERIFY_BITS(d, 114);
     /* [d 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
-    c += (uint128_t)R * (uint64_t)d; d >>= 64;
+    c += (d & M) * R; d >>= 52;
     VERIFY_BITS(c, 115);
-    VERIFY_BITS(d, 50);
-    /* [(d<<12) 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+    VERIFY_BITS(d, 62);
+    /* [d 0 0 0 t4 t3 c r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
     r[2] = c & M; c >>= 52;
     VERIFY_BITS(r[2], 52);
     VERIFY_BITS(c, 63);
-    /* [(d<<12) 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
+    /* [d 0 0 0 t4 t3+c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
 
-    c   += (uint128_t)(R << 12) * (uint64_t)d + t3;
+    c   += d * R + t3;
     VERIFY_BITS(c, 100);
     /* [t4 c r2 r1 r0] = [p8 p7 p6 p5 p4 p3 p2 p1 p0] */
     r[3] = c & M; c >>= 52;

src/field_impl.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_FIELD_IMPL_H
 #define SECP256K1_FIELD_IMPL_H
@@ -12,13 +12,14 @@
 #endif
 
 #include "util.h"
+#include "num.h"
 
-#if defined(SECP256K1_WIDEMUL_INT128)
-#include "field_5x52_impl.h"
-#elif defined(SECP256K1_WIDEMUL_INT64)
+#if defined(USE_FIELD_10X26)
 #include "field_10x26_impl.h"
+#elif defined(USE_FIELD_5X52)
+#include "field_5x52_impl.h"
 #else
-#error "Please select wide multiplication implementation"
+#error "Please select field implementation"
 #endif
 
 SECP256K1_INLINE static int secp256k1_fe_equal(const secp256k1_fe *a, const secp256k1_fe *b) {
@@ -135,9 +136,183 @@ static int secp256k1_fe_sqrt(secp256k1_fe *r, const secp256k1_fe *a) {
     return secp256k1_fe_equal(&t1, a);
 }
 
+static void secp256k1_fe_inv(secp256k1_fe *r, const secp256k1_fe *a) {
+    secp256k1_fe x2, x3, x6, x9, x11, x22, x44, x88, x176, x220, x223, t1;
+    int j;
+
+    /** The binary representation of (p - 2) has 5 blocks of 1s, with lengths in
+     *  { 1, 2, 22, 223 }. Use an addition chain to calculate 2^n - 1 for each block:
+     *  [1], [2], 3, 6, 9, 11, [22], 44, 88, 176, 220, [223]
+     */
+
+    secp256k1_fe_sqr(&x2, a);
+    secp256k1_fe_mul(&x2, &x2, a);
+
+    secp256k1_fe_sqr(&x3, &x2);
+    secp256k1_fe_mul(&x3, &x3, a);
+
+    x6 = x3;
+    for (j=0; j<3; j++) {
+        secp256k1_fe_sqr(&x6, &x6);
+    }
+    secp256k1_fe_mul(&x6, &x6, &x3);
+
+    x9 = x6;
+    for (j=0; j<3; j++) {
+        secp256k1_fe_sqr(&x9, &x9);
+    }
+    secp256k1_fe_mul(&x9, &x9, &x3);
+
+    x11 = x9;
+    for (j=0; j<2; j++) {
+        secp256k1_fe_sqr(&x11, &x11);
+    }
+    secp256k1_fe_mul(&x11, &x11, &x2);
+
+    x22 = x11;
+    for (j=0; j<11; j++) {
+        secp256k1_fe_sqr(&x22, &x22);
+    }
+    secp256k1_fe_mul(&x22, &x22, &x11);
+
+    x44 = x22;
+    for (j=0; j<22; j++) {
+        secp256k1_fe_sqr(&x44, &x44);
+    }
+    secp256k1_fe_mul(&x44, &x44, &x22);
+
+    x88 = x44;
+    for (j=0; j<44; j++) {
+        secp256k1_fe_sqr(&x88, &x88);
+    }
+    secp256k1_fe_mul(&x88, &x88, &x44);
+
+    x176 = x88;
+    for (j=0; j<88; j++) {
+        secp256k1_fe_sqr(&x176, &x176);
+    }
+    secp256k1_fe_mul(&x176, &x176, &x88);
+
+    x220 = x176;
+    for (j=0; j<44; j++) {
+        secp256k1_fe_sqr(&x220, &x220);
+    }
+    secp256k1_fe_mul(&x220, &x220, &x44);
+
+    x223 = x220;
+    for (j=0; j<3; j++) {
+        secp256k1_fe_sqr(&x223, &x223);
+    }
+    secp256k1_fe_mul(&x223, &x223, &x3);
+
+    /* The final result is then assembled using a sliding window over the blocks. */
+
+    t1 = x223;
+    for (j=0; j<23; j++) {
+        secp256k1_fe_sqr(&t1, &t1);
+    }
+    secp256k1_fe_mul(&t1, &t1, &x22);
+    for (j=0; j<5; j++) {
+        secp256k1_fe_sqr(&t1, &t1);
+    }
+    secp256k1_fe_mul(&t1, &t1, a);
+    for (j=0; j<3; j++) {
+        secp256k1_fe_sqr(&t1, &t1);
+    }
+    secp256k1_fe_mul(&t1, &t1, &x2);
+    for (j=0; j<2; j++) {
+        secp256k1_fe_sqr(&t1, &t1);
+    }
+    secp256k1_fe_mul(r, a, &t1);
+}
+
+static void secp256k1_fe_inv_var(secp256k1_fe *r, const secp256k1_fe *a) {
+#if defined(USE_FIELD_INV_BUILTIN)
+    secp256k1_fe_inv(r, a);
+#elif defined(USE_FIELD_INV_NUM)
+    secp256k1_num n, m;
+    static const secp256k1_fe negone = SECP256K1_FE_CONST(
+        0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFFUL,
+        0xFFFFFFFFUL, 0xFFFFFFFFUL, 0xFFFFFFFEUL, 0xFFFFFC2EUL
+    );
+    /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */
+    static const unsigned char prime[32] = {
+        0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+        0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+        0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+        0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F
+    };
+    unsigned char b[32];
+    int res;
+    secp256k1_fe c = *a;
+    secp256k1_fe_normalize_var(&c);
+    secp256k1_fe_get_b32(b, &c);
+    secp256k1_num_set_bin(&n, b, 32);
+    secp256k1_num_set_bin(&m, prime, 32);
+    secp256k1_num_mod_inverse(&n, &n, &m);
+    secp256k1_num_get_bin(b, 32, &n);
+    res = secp256k1_fe_set_b32(r, b);
+    (void)res;
+    VERIFY_CHECK(res);
+    /* Verify the result is the (unique) valid inverse using non-GMP code. */
+    secp256k1_fe_mul(&c, &c, r);
+    secp256k1_fe_add(&c, &negone);
+    CHECK(secp256k1_fe_normalizes_to_zero_var(&c));
+#else
+#error "Please select field inverse implementation"
+#endif
+}
+
+static void secp256k1_fe_inv_all_var(secp256k1_fe *r, const secp256k1_fe *a, size_t len) {
+    secp256k1_fe u;
+    size_t i;
+    if (len < 1) {
+        return;
+    }
+
+    VERIFY_CHECK((r + len <= a) || (a + len <= r));
+
+    r[0] = a[0];
+
+    i = 0;
+    while (++i < len) {
+        secp256k1_fe_mul(&r[i], &r[i - 1], &a[i]);
+    }
+
+    secp256k1_fe_inv_var(&u, &r[--i]);
+
+    while (i > 0) {
+        size_t j = i--;
+        secp256k1_fe_mul(&r[j], &r[i], &u);
+        secp256k1_fe_mul(&u, &u, &a[j]);
+    }
+
+    r[0] = u;
+}
+
 static int secp256k1_fe_is_quad_var(const secp256k1_fe *a) {
+#ifndef USE_NUM_NONE
+    unsigned char b[32];
+    secp256k1_num n;
+    secp256k1_num m;
+    /* secp256k1 field prime, value p defined in "Standards for Efficient Cryptography" (SEC2) 2.7.1. */
+    static const unsigned char prime[32] = {
+        0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+        0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+        0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,0xFF,
+        0xFF,0xFF,0xFF,0xFE,0xFF,0xFF,0xFC,0x2F
+    };
+
+    secp256k1_fe c = *a;
+    secp256k1_fe_normalize_var(&c);
+    secp256k1_fe_get_b32(b, &c);
+    secp256k1_num_set_bin(&n, b, 32);
+    secp256k1_num_set_bin(&m, prime, 32);
+    return secp256k1_num_jacobi(&n, &m) >= 0;
+#else
     secp256k1_fe r;
     return secp256k1_fe_sqrt(&r, a);
+#endif
 }
 
 #endif /* SECP256K1_FIELD_IMPL_H */

src/gen_context.c

@@ -0,0 +1,79 @@
+/**********************************************************************
+ * Copyright (c) 2013, 2014, 2015 Thomas Daede, Cory Fields           *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
+
+#define USE_BASIC_CONFIG 1
+
+#include "basic-config.h"
+#include "include/secp256k1.h"
+#include "util.h"
+#include "field_impl.h"
+#include "scalar_impl.h"
+#include "group_impl.h"
+#include "ecmult_gen_impl.h"
+
+static void default_error_callback_fn(const char* str, void* data) {
+    (void)data;
+    fprintf(stderr, "[libsecp256k1] internal consistency check failed: %s\n", str);
+    abort();
+}
+
+static const secp256k1_callback default_error_callback = {
+    default_error_callback_fn,
+    NULL
+};
+
+int main(int argc, char **argv) {
+    secp256k1_ecmult_gen_context ctx;
+    void *prealloc, *base;
+    int inner;
+    int outer;
+    FILE* fp;
+
+    (void)argc;
+    (void)argv;
+
+    fp = fopen("src/ecmult_static_context.h","w");
+    if (fp == NULL) {
+        fprintf(stderr, "Could not open src/ecmult_static_context.h for writing!\n");
+        return -1;
+    }
+
+    fprintf(fp, "#ifndef _SECP256K1_ECMULT_STATIC_CONTEXT_\n");
+    fprintf(fp, "#define _SECP256K1_ECMULT_STATIC_CONTEXT_\n");
+    fprintf(fp, "#include \"src/group.h\"\n");
+    fprintf(fp, "#define SC SECP256K1_GE_STORAGE_CONST\n");
+    fprintf(fp, "static const secp256k1_ge_storage secp256k1_ecmult_static_context[64][16] = {\n");
+
+    base = checked_malloc(&default_error_callback, SECP256K1_ECMULT_GEN_CONTEXT_PREALLOCATED_SIZE);
+    prealloc = base;
+    secp256k1_ecmult_gen_context_init(&ctx);
+    secp256k1_ecmult_gen_context_build(&ctx, &prealloc);
+    for(outer = 0; outer != 64; outer++) {
+        fprintf(fp,"{\n");
+        for(inner = 0; inner != 16; inner++) {
+            fprintf(fp,"    SC(%uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu, %uu)", SECP256K1_GE_STORAGE_CONST_GET((*ctx.prec)[outer][inner]));
+            if (inner != 15) {
+                fprintf(fp,",\n");
+            } else {
+                fprintf(fp,"\n");
+            }
+        }
+        if (outer != 63) {
+            fprintf(fp,"},\n");
+        } else {
+            fprintf(fp,"}\n");
+        }
+    }
+    fprintf(fp,"};\n");
+    secp256k1_ecmult_gen_context_clear(&ctx);
+    free(base);
+
+    fprintf(fp, "#undef SC\n");
+    fprintf(fp, "#endif\n");
+    fclose(fp);
+
+    return 0;
+}

src/group.h

@@ -1,18 +1,16 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_GROUP_H
 #define SECP256K1_GROUP_H
 
+#include "num.h"
 #include "field.h"
 
-/** A group element in affine coordinates on the secp256k1 curve,
- *  or occasionally on an isomorphic curve of the form y^2 = x^3 + 7*t^6.
- *  Note: For exhaustive test mode, secp256k1 is replaced by a small subgroup of a different curve.
- */
+/** A group element of the secp256k1 curve, in affine coordinates. */
 typedef struct {
     secp256k1_fe x;
     secp256k1_fe y;
@@ -22,9 +20,7 @@ typedef struct {
 #define SECP256K1_GE_CONST(a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p) {SECP256K1_FE_CONST((a),(b),(c),(d),(e),(f),(g),(h)), SECP256K1_FE_CONST((i),(j),(k),(l),(m),(n),(o),(p)), 0}
 #define SECP256K1_GE_CONST_INFINITY {SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 0), 1}
 
-/** A group element of the secp256k1 curve, in jacobian coordinates.
- *  Note: For exhastive test mode, sepc256k1 is replaced by a small subgroup of a different curve.
- */
+/** A group element of the secp256k1 curve, in jacobian coordinates. */
 typedef struct {
     secp256k1_fe x; /* actual X: x/z^2 */
     secp256k1_fe y; /* actual Y: y/z^3 */
@@ -63,36 +59,20 @@ static int secp256k1_ge_is_infinity(const secp256k1_ge *a);
 /** Check whether a group element is valid (i.e., on the curve). */
 static int secp256k1_ge_is_valid_var(const secp256k1_ge *a);
 
-/** Set r equal to the inverse of a (i.e., mirrored around the X axis) */
 static void secp256k1_ge_neg(secp256k1_ge *r, const secp256k1_ge *a);
 
-/** Set a group element equal to another which is given in jacobian coordinates. Constant time. */
+/** Set a group element equal to another which is given in jacobian coordinates */
 static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a);
 
-/** Set a group element equal to another which is given in jacobian coordinates. */
-static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a);
-
 /** Set a batch of group elements equal to the inputs given in jacobian coordinates */
 static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len);
 
-/** Bring a batch of inputs to the same global z "denominator", based on ratios between
- *  (omitted) z coordinates of adjacent elements.
- *
- *  Although the elements a[i] are _ge rather than _gej, they actually represent elements
- *  in Jacobian coordinates with their z coordinates omitted.
- *
- *  Using the notation z(b) to represent the omitted z coordinate of b, the array zr of
- *  z coordinate ratios must satisfy zr[i] == z(a[i]) / z(a[i-1]) for 0 < 'i' < len.
- *  The zr[0] value is unused.
- *
- *  This function adjusts the coordinates of 'a' in place so that for all 'i', z(a[i]) == z(a[len-1]).
- *  In other words, the initial value of z(a[len-1]) becomes the global z "denominator". Only the
- *  a[i].x and a[i].y coordinates are explicitly modified; the adjustment of the omitted z coordinate is
- *  implicit.
- *
- *  The coordinates of the final element a[len-1] are not changed.
- */
-static void secp256k1_ge_table_set_globalz(size_t len, secp256k1_ge *a, const secp256k1_fe *zr);
+/** Bring a batch inputs given in jacobian coordinates (with known z-ratios) to
+ *  the same global z "denominator". zr must contain the known z-ratios such
+ *  that mul(a[i].z, zr[i+1]) == a[i+1].z. zr[0] is ignored. The x and y
+ *  coordinates of the result are stored in r, the common z coordinate is
+ *  stored in globalz. */
+static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr);
 
 /** Set a group element (affine) equal to the point at infinity. */
 static void secp256k1_ge_set_infinity(secp256k1_ge *r);
@@ -115,13 +95,14 @@ static int secp256k1_gej_is_infinity(const secp256k1_gej *a);
 /** Check whether a group element's y coordinate is a quadratic residue. */
 static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a);
 
-/** Set r equal to the double of a. Constant time. */
-static void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a);
+/** Set r equal to the double of a. If rzr is not-NULL, r->z = a->z * *rzr (where infinity means an implicit z = 0).
+ * a may not be zero. Constant time. */
+static void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr);
 
-/** Set r equal to the double of a. If rzr is not-NULL this sets *rzr such that r->z == a->z * *rzr (where infinity means an implicit z = 0). */
+/** Set r equal to the double of a. If rzr is not-NULL, r->z = a->z * *rzr (where infinity means an implicit z = 0). */
 static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr);
 
-/** Set r equal to the sum of a and b. If rzr is non-NULL this sets *rzr such that r->z == a->z * *rzr (a cannot be infinity in that case). */
+/** Set r equal to the sum of a and b. If rzr is non-NULL, r->z = a->z * *rzr (a cannot be infinity in that case). */
 static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr);
 
 /** Set r equal to the sum of a and b (with b given in affine coordinates, and not infinity). */
@@ -129,14 +110,16 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const
 
 /** Set r equal to the sum of a and b (with b given in affine coordinates). This is more efficient
     than secp256k1_gej_add_var. It is identical to secp256k1_gej_add_ge but without constant-time
-    guarantee, and b is allowed to be infinity. If rzr is non-NULL this sets *rzr such that r->z == a->z * *rzr (a cannot be infinity in that case). */
+    guarantee, and b is allowed to be infinity. If rzr is non-NULL, r->z = a->z * *rzr (a cannot be infinity in that case). */
 static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, secp256k1_fe *rzr);
 
 /** Set r equal to the sum of a and b (with the inverse of b's Z coordinate passed as bzinv). */
 static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b, const secp256k1_fe *bzinv);
 
+#ifdef USE_ENDOMORPHISM
 /** Set r to be equal to lambda times a, where lambda is chosen in a way such that this is very fast. */
 static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a);
+#endif
 
 /** Clear a secp256k1_gej to prevent leaking sensitive information. */
 static void secp256k1_gej_clear(secp256k1_gej *r);
@@ -150,24 +133,10 @@ static void secp256k1_ge_to_storage(secp256k1_ge_storage *r, const secp256k1_ge
 /** Convert a group element back from the storage type. */
 static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storage *a);
 
-/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time.  Both *r and *a must be initialized.*/
-static void secp256k1_gej_cmov(secp256k1_gej *r, const secp256k1_gej *a, int flag);
-
-/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time.  Both *r and *a must be initialized.*/
+/** If flag is true, set *r equal to *a; otherwise leave it. Constant-time. */
 static void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag);
 
 /** Rescale a jacobian point by b which must be non-zero. Constant-time. */
 static void secp256k1_gej_rescale(secp256k1_gej *r, const secp256k1_fe *b);
 
-/** Determine if a point (which is assumed to be on the curve) is in the correct (sub)group of the curve.
- *
- * In normal mode, the used group is secp256k1, which has cofactor=1 meaning that every point on the curve is in the
- * group, and this function returns always true.
- *
- * When compiling in exhaustive test mode, a slightly different curve equation is used, leading to a group with a
- * (very) small subgroup, and that subgroup is what is used for all cryptographic operations. In that mode, this
- * function checks whether a point that is on the curve is in fact also in that subgroup.
- */
-static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge);
-
 #endif /* SECP256K1_GROUP_H */

src/group_impl.h

@@ -1,73 +1,79 @@
-/***********************************************************************
- * Copyright (c) 2013, 2014 Pieter Wuille                              *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2013, 2014 Pieter Wuille                             *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_GROUP_IMPL_H
 #define SECP256K1_GROUP_IMPL_H
 
+#include "num.h"
 #include "field.h"
 #include "group.h"
 
-#define SECP256K1_G_ORDER_13 SECP256K1_GE_CONST(\
-    0xc3459c3d, 0x35326167, 0xcd86cce8, 0x07a2417f,\
-    0x5b8bd567, 0xde8538ee, 0x0d507b0c, 0xd128f5bb,\
-    0x8e467fec, 0xcd30000a, 0x6cc1184e, 0x25d382c2,\
-    0xa2f4494e, 0x2fbe9abc, 0x8b64abac, 0xd005fb24\
-)
-#define SECP256K1_G_ORDER_199 SECP256K1_GE_CONST(\
-    0x226e653f, 0xc8df7744, 0x9bacbf12, 0x7d1dcbf9,\
-    0x87f05b2a, 0xe7edbd28, 0x1f564575, 0xc48dcf18,\
-    0xa13872c2, 0xe933bb17, 0x5d9ffd5b, 0xb5b6e10c,\
-    0x57fe3c00, 0xbaaaa15a, 0xe003ec3e, 0x9c269bae\
-)
-/** Generator for secp256k1, value 'g' defined in
- *  "Standards for Efficient Cryptography" (SEC2) 2.7.1.
- */
-#define SECP256K1_G SECP256K1_GE_CONST(\
-    0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,\
-    0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,\
-    0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,\
-    0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL\
-)
-/* These exhaustive group test orders and generators are chosen such that:
- * - The field size is equal to that of secp256k1, so field code is the same.
- * - The curve equation is of the form y^2=x^3+B for some constant B.
- * - The subgroup has a generator 2*P, where P.x=1.
- * - The subgroup has size less than 1000 to permit exhaustive testing.
- * - The subgroup admits an endomorphism of the form lambda*(x,y) == (beta*x,y).
+/* These points can be generated in sage as follows:
  *
- * These parameters are generated using sage/gen_exhaustive_groups.sage.
+ * 0. Setup a worksheet with the following parameters.
+ *   b = 4  # whatever CURVE_B will be set to
+ *   F = FiniteField (0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFC2F)
+ *   C = EllipticCurve ([F (0), F (b)])
+ *
+ * 1. Determine all the small orders available to you. (If there are
+ *    no satisfactory ones, go back and change b.)
+ *   print C.order().factor(limit=1000)
+ *
+ * 2. Choose an order as one of the prime factors listed in the above step.
+ *    (You can also multiply some to get a composite order, though the
+ *    tests will crash trying to invert scalars during signing.) We take a
+ *    random point and scale it to drop its order to the desired value.
+ *    There is some probability this won't work; just try again.
+ *   order = 199
+ *   P = C.random_point()
+ *   P = (int(P.order()) / int(order)) * P
+ *   assert(P.order() == order)
+ *
+ * 3. Print the values. You'll need to use a vim macro or something to
+ *    split the hex output into 4-byte chunks.
+ *   print "%x %x" % P.xy()
  */
 #if defined(EXHAUSTIVE_TEST_ORDER)
-#  if EXHAUSTIVE_TEST_ORDER == 13
-static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_13;
-
-static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(
-    0x3d3486b2, 0x159a9ca5, 0xc75638be, 0xb23a69bc,
-    0x946a45ab, 0x24801247, 0xb4ed2b8e, 0x26b6a417
+#  if EXHAUSTIVE_TEST_ORDER == 199
+static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(
+    0xFA7CC9A7, 0x0737F2DB, 0xA749DD39, 0x2B4FB069,
+    0x3B017A7D, 0xA808C2F1, 0xFB12940C, 0x9EA66C18,
+    0x78AC123A, 0x5ED8AEF3, 0x8732BC91, 0x1F3A2868,
+    0x48DF246C, 0x808DAE72, 0xCFE52572, 0x7F0501ED
 );
-#  elif EXHAUSTIVE_TEST_ORDER == 199
-static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G_ORDER_199;
 
-static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(
-    0x2cca28fa, 0xfc614b80, 0x2a3db42b, 0x00ba00b1,
-    0xbea8d943, 0xdace9ab2, 0x9536daea, 0x0074defb
+static const int CURVE_B = 4;
+#  elif EXHAUSTIVE_TEST_ORDER == 13
+static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(
+    0xedc60018, 0xa51a786b, 0x2ea91f4d, 0x4c9416c0,
+    0x9de54c3b, 0xa1316554, 0x6cf4345c, 0x7277ef15,
+    0x54cb1b6b, 0xdc8c1273, 0x087844ea, 0x43f4603e,
+    0x0eaf9a43, 0xf6effe55, 0x939f806d, 0x37adf8ac
 );
+static const int CURVE_B = 2;
 #  else
 #    error No known generator for the specified exhaustive test group order.
 #  endif
 #else
-static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_G;
+/** Generator for secp256k1, value 'g' defined in
+ *  "Standards for Efficient Cryptography" (SEC2) 2.7.1.
+ */
+static const secp256k1_ge secp256k1_ge_const_g = SECP256K1_GE_CONST(
+    0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,
+    0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,
+    0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,
+    0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL
+);
 
-static const secp256k1_fe secp256k1_fe_const_b = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 7);
+static const int CURVE_B = 7;
 #endif
 
 static void secp256k1_ge_set_gej_zinv(secp256k1_ge *r, const secp256k1_gej *a, const secp256k1_fe *zi) {
     secp256k1_fe zi2;
     secp256k1_fe zi3;
-    VERIFY_CHECK(!a->infinity);
     secp256k1_fe_sqr(&zi2, zi);
     secp256k1_fe_mul(&zi3, &zi2, zi);
     secp256k1_fe_mul(&r->x, &a->x, &zi2);
@@ -106,8 +112,8 @@ static void secp256k1_ge_set_gej(secp256k1_ge *r, secp256k1_gej *a) {
 
 static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) {
     secp256k1_fe z2, z3;
+    r->infinity = a->infinity;
     if (a->infinity) {
-        secp256k1_ge_set_infinity(r);
         return;
     }
     secp256k1_fe_inv_var(&a->z, &a->z);
@@ -116,7 +122,8 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge *r, secp256k1_gej *a) {
     secp256k1_fe_mul(&a->x, &a->x, &z2);
     secp256k1_fe_mul(&a->y, &a->y, &z3);
     secp256k1_fe_set_int(&a->z, 1);
-    secp256k1_ge_set_xy(r, &a->x, &a->y);
+    r->x = a->x;
+    r->y = a->y;
 }
 
 static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a, size_t len) {
@@ -125,9 +132,7 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a
     size_t last_i = SIZE_MAX;
 
     for (i = 0; i < len; i++) {
-        if (a[i].infinity) {
-            secp256k1_ge_set_infinity(&r[i]);
-        } else {
+        if (!a[i].infinity) {
             /* Use destination's x coordinates as scratch space */
             if (last_i == SIZE_MAX) {
                 r[i].x = a[i].z;
@@ -155,32 +160,34 @@ static void secp256k1_ge_set_all_gej_var(secp256k1_ge *r, const secp256k1_gej *a
     r[last_i].x = u;
 
     for (i = 0; i < len; i++) {
+        r[i].infinity = a[i].infinity;
         if (!a[i].infinity) {
             secp256k1_ge_set_gej_zinv(&r[i], &a[i], &r[i].x);
         }
     }
 }
 
-static void secp256k1_ge_table_set_globalz(size_t len, secp256k1_ge *a, const secp256k1_fe *zr) {
+static void secp256k1_ge_globalz_set_table_gej(size_t len, secp256k1_ge *r, secp256k1_fe *globalz, const secp256k1_gej *a, const secp256k1_fe *zr) {
     size_t i = len - 1;
     secp256k1_fe zs;
 
     if (len > 0) {
+        /* The z of the final point gives us the "global Z" for the table. */
+        r[i].x = a[i].x;
+        r[i].y = a[i].y;
         /* Ensure all y values are in weak normal form for fast negation of points */
-        secp256k1_fe_normalize_weak(&a[i].y);
+        secp256k1_fe_normalize_weak(&r[i].y);
+        *globalz = a[i].z;
+        r[i].infinity = 0;
         zs = zr[i];
 
         /* Work our way backwards, using the z-ratios to scale the x/y values. */
         while (i > 0) {
-            secp256k1_gej tmpa;
             if (i != len - 1) {
                 secp256k1_fe_mul(&zs, &zs, &zr[i]);
             }
             i--;
-            tmpa.x = a[i].x;
-            tmpa.y = a[i].y;
-            tmpa.infinity = 0;
-            secp256k1_ge_set_gej_zinv(&a[i], &tmpa, &zs);
+            secp256k1_ge_set_gej_zinv(&r[i], &a[i], &zs);
         }
     }
 }
@@ -212,13 +219,14 @@ static void secp256k1_ge_clear(secp256k1_ge *r) {
 }
 
 static int secp256k1_ge_set_xquad(secp256k1_ge *r, const secp256k1_fe *x) {
-    secp256k1_fe x2, x3;
+    secp256k1_fe x2, x3, c;
     r->x = *x;
     secp256k1_fe_sqr(&x2, x);
     secp256k1_fe_mul(&x3, x, &x2);
     r->infinity = 0;
-    secp256k1_fe_add(&x3, &secp256k1_fe_const_b);
-    return secp256k1_fe_sqrt(&r->y, &x3);
+    secp256k1_fe_set_int(&c, CURVE_B);
+    secp256k1_fe_add(&c, &x3);
+    return secp256k1_fe_sqrt(&r->y, &c);
 }
 
 static int secp256k1_ge_set_xo_var(secp256k1_ge *r, const secp256k1_fe *x, int odd) {
@@ -261,52 +269,49 @@ static int secp256k1_gej_is_infinity(const secp256k1_gej *a) {
     return a->infinity;
 }
 
+static int secp256k1_gej_is_valid_var(const secp256k1_gej *a) {
+    secp256k1_fe y2, x3, z2, z6;
+    if (a->infinity) {
+        return 0;
+    }
+    /** y^2 = x^3 + 7
+     *  (Y/Z^3)^2 = (X/Z^2)^3 + 7
+     *  Y^2 / Z^6 = X^3 / Z^6 + 7
+     *  Y^2 = X^3 + 7*Z^6
+     */
+    secp256k1_fe_sqr(&y2, &a->y);
+    secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
+    secp256k1_fe_sqr(&z2, &a->z);
+    secp256k1_fe_sqr(&z6, &z2); secp256k1_fe_mul(&z6, &z6, &z2);
+    secp256k1_fe_mul_int(&z6, CURVE_B);
+    secp256k1_fe_add(&x3, &z6);
+    secp256k1_fe_normalize_weak(&x3);
+    return secp256k1_fe_equal_var(&y2, &x3);
+}
+
 static int secp256k1_ge_is_valid_var(const secp256k1_ge *a) {
-    secp256k1_fe y2, x3;
+    secp256k1_fe y2, x3, c;
     if (a->infinity) {
         return 0;
     }
     /* y^2 = x^3 + 7 */
     secp256k1_fe_sqr(&y2, &a->y);
     secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
-    secp256k1_fe_add(&x3, &secp256k1_fe_const_b);
+    secp256k1_fe_set_int(&c, CURVE_B);
+    secp256k1_fe_add(&x3, &c);
     secp256k1_fe_normalize_weak(&x3);
     return secp256k1_fe_equal_var(&y2, &x3);
 }
 
-static SECP256K1_INLINE void secp256k1_gej_double(secp256k1_gej *r, const secp256k1_gej *a) {
-    /* Operations: 3 mul, 4 sqr, 8 add/half/mul_int/negate */
-    secp256k1_fe l, s, t;
-
-    r->infinity = a->infinity;
-
-    /* Formula used:
-     * L = (3/2) * X1^2
-     * S = Y1^2
-     * T = -X1*S
-     * X3 = L^2 + 2*T
-     * Y3 = -(L*(X3 + T) + S^2)
-     * Z3 = Y1*Z1
-     */
-
-    secp256k1_fe_mul(&r->z, &a->z, &a->y); /* Z3 = Y1*Z1 (1) */
-    secp256k1_fe_sqr(&s, &a->y);           /* S = Y1^2 (1) */
-    secp256k1_fe_sqr(&l, &a->x);           /* L = X1^2 (1) */
-    secp256k1_fe_mul_int(&l, 3);           /* L = 3*X1^2 (3) */
-    secp256k1_fe_half(&l);                 /* L = 3/2*X1^2 (2) */
-    secp256k1_fe_negate(&t, &s, 1);        /* T = -S (2) */
-    secp256k1_fe_mul(&t, &t, &a->x);       /* T = -X1*S (1) */
-    secp256k1_fe_sqr(&r->x, &l);           /* X3 = L^2 (1) */
-    secp256k1_fe_add(&r->x, &t);           /* X3 = L^2 + T (2) */
-    secp256k1_fe_add(&r->x, &t);           /* X3 = L^2 + 2*T (3) */
-    secp256k1_fe_sqr(&s, &s);              /* S' = S^2 (1) */
-    secp256k1_fe_add(&t, &r->x);           /* T' = X3 + T (4) */
-    secp256k1_fe_mul(&r->y, &t, &l);       /* Y3 = L*(X3 + T) (1) */
-    secp256k1_fe_add(&r->y, &s);           /* Y3 = L*(X3 + T) + S^2 (2) */
-    secp256k1_fe_negate(&r->y, &r->y, 2);  /* Y3 = -(L*(X3 + T) + S^2) (3) */
-}
-
 static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) {
+    /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate.
+     *
+     * Note that there is an implementation described at
+     *     https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-0.html#doubling-dbl-2009-l
+     * which trades a multiply for a square, but in practice this is actually slower,
+     * mainly because it requires more normalizations.
+     */
+    secp256k1_fe t1,t2,t3,t4;
     /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity,
      *  Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have
      *  y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p.
@@ -317,8 +322,8 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s
      *  the infinity flag even though the point doubles to infinity, and the result
      *  point will be gibberish (z = 0 but infinity = 0).
      */
-    if (a->infinity) {
-        secp256k1_gej_set_infinity(r);
+    r->infinity = a->infinity;
+    if (r->infinity) {
         if (rzr != NULL) {
             secp256k1_fe_set_int(rzr, 1);
         }
@@ -328,9 +333,34 @@ static void secp256k1_gej_double_var(secp256k1_gej *r, const secp256k1_gej *a, s
     if (rzr != NULL) {
         *rzr = a->y;
         secp256k1_fe_normalize_weak(rzr);
+        secp256k1_fe_mul_int(rzr, 2);
     }
 
-    secp256k1_gej_double(r, a);
+    secp256k1_fe_mul(&r->z, &a->z, &a->y);
+    secp256k1_fe_mul_int(&r->z, 2);       /* Z' = 2*Y*Z (2) */
+    secp256k1_fe_sqr(&t1, &a->x);
+    secp256k1_fe_mul_int(&t1, 3);         /* T1 = 3*X^2 (3) */
+    secp256k1_fe_sqr(&t2, &t1);           /* T2 = 9*X^4 (1) */
+    secp256k1_fe_sqr(&t3, &a->y);
+    secp256k1_fe_mul_int(&t3, 2);         /* T3 = 2*Y^2 (2) */
+    secp256k1_fe_sqr(&t4, &t3);
+    secp256k1_fe_mul_int(&t4, 2);         /* T4 = 8*Y^4 (2) */
+    secp256k1_fe_mul(&t3, &t3, &a->x);    /* T3 = 2*X*Y^2 (1) */
+    r->x = t3;
+    secp256k1_fe_mul_int(&r->x, 4);       /* X' = 8*X*Y^2 (4) */
+    secp256k1_fe_negate(&r->x, &r->x, 4); /* X' = -8*X*Y^2 (5) */
+    secp256k1_fe_add(&r->x, &t2);         /* X' = 9*X^4 - 8*X*Y^2 (6) */
+    secp256k1_fe_negate(&t2, &t2, 1);     /* T2 = -9*X^4 (2) */
+    secp256k1_fe_mul_int(&t3, 6);         /* T3 = 12*X*Y^2 (6) */
+    secp256k1_fe_add(&t3, &t2);           /* T3 = 12*X*Y^2 - 9*X^4 (8) */
+    secp256k1_fe_mul(&r->y, &t1, &t3);    /* Y' = 36*X^3*Y^2 - 27*X^6 (1) */
+    secp256k1_fe_negate(&t2, &t4, 2);     /* T2 = -8*Y^4 (3) */
+    secp256k1_fe_add(&r->y, &t2);         /* Y' = 36*X^3*Y^2 - 27*X^6 - 8*Y^4 (4) */
+}
+
+static SECP256K1_INLINE void secp256k1_gej_double_nonzero(secp256k1_gej *r, const secp256k1_gej *a, secp256k1_fe *rzr) {
+    VERIFY_CHECK(!secp256k1_gej_is_infinity(a));
+    secp256k1_gej_double_var(r, a, rzr);
 }
 
 static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_gej *b, secp256k1_fe *rzr) {
@@ -367,7 +397,7 @@ static void secp256k1_gej_add_var(secp256k1_gej *r, const secp256k1_gej *a, cons
             if (rzr != NULL) {
                 secp256k1_fe_set_int(rzr, 0);
             }
-            secp256k1_gej_set_infinity(r);
+            r->infinity = 1;
         }
         return;
     }
@@ -417,7 +447,7 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej *r, const secp256k1_gej *a, c
             if (rzr != NULL) {
                 secp256k1_fe_set_int(rzr, 0);
             }
-            secp256k1_gej_set_infinity(r);
+            r->infinity = 1;
         }
         return;
     }
@@ -476,7 +506,7 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a,
         if (secp256k1_fe_normalizes_to_zero_var(&i)) {
             secp256k1_gej_double_var(r, a, NULL);
         } else {
-            secp256k1_gej_set_infinity(r);
+            r->infinity = 1;
         }
         return;
     }
@@ -493,7 +523,8 @@ static void secp256k1_gej_add_zinv_var(secp256k1_gej *r, const secp256k1_gej *a,
 
 
 static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const secp256k1_ge *b) {
-    /* Operations: 7 mul, 5 sqr, 24 add/cmov/half/mul_int/negate/normalize_weak/normalizes_to_zero */
+    /* Operations: 7 mul, 5 sqr, 4 normalize, 21 mul_int/add/negate/cmov */
+    static const secp256k1_fe fe_1 = SECP256K1_FE_CONST(0, 0, 0, 0, 0, 0, 0, 1);
     secp256k1_fe zz, u1, u2, s1, s2, t, tt, m, n, q, rr;
     secp256k1_fe m_alt, rr_alt;
     int infinity, degenerate;
@@ -514,11 +545,11 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const
      *    Z = Z1*Z2
      *    T = U1+U2
      *    M = S1+S2
-     *    Q = -T*M^2
+     *    Q = T*M^2
      *    R = T^2-U1*U2
-     *    X3 = R^2+Q
-     *    Y3 = -(R*(2*X3+Q)+M^4)/2
-     *    Z3 = M*Z
+     *    X3 = 4*(R^2-Q)
+     *    Y3 = 4*(R*(3*Q-2*R^2)-M^4)
+     *    Z3 = 2*M*Z
      *  (Note that the paper uses xi = Xi / Zi and yi = Yi / Zi instead.)
      *
      *  This formula has the benefit of being the same for both addition
@@ -582,8 +613,7 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const
      * and denominator of lambda; R and M represent the explicit
      * expressions x1^2 + x2^2 + x1x2 and y1 + y2. */
     secp256k1_fe_sqr(&n, &m_alt);                       /* n = Malt^2 (1) */
-    secp256k1_fe_negate(&q, &t, 2);                     /* q = -T (3) */
-    secp256k1_fe_mul(&q, &q, &n);                       /* q = Q = -T*Malt^2 (1) */
+    secp256k1_fe_mul(&q, &n, &t);                       /* q = Q = T*Malt^2 (1) */
     /* These two lines use the observation that either M == Malt or M == 0,
      * so M^3 * Malt is either Malt^4 (which is computed by squaring), or
      * zero (which is "computed" by cmov). So the cost is one squaring
@@ -591,21 +621,26 @@ static void secp256k1_gej_add_ge(secp256k1_gej *r, const secp256k1_gej *a, const
     secp256k1_fe_sqr(&n, &n);
     secp256k1_fe_cmov(&n, &m, degenerate);              /* n = M^3 * Malt (2) */
     secp256k1_fe_sqr(&t, &rr_alt);                      /* t = Ralt^2 (1) */
-    secp256k1_fe_mul(&r->z, &a->z, &m_alt);             /* r->z = Z3 = Malt*Z (1) */
-    infinity = secp256k1_fe_normalizes_to_zero(&r->z) & ~a->infinity;
-    secp256k1_fe_add(&t, &q);                           /* t = Ralt^2 + Q (2) */
-    r->x = t;                                           /* r->x = X3 = Ralt^2 + Q (2) */
-    secp256k1_fe_mul_int(&t, 2);                        /* t = 2*X3 (4) */
-    secp256k1_fe_add(&t, &q);                           /* t = 2*X3 + Q (5) */
-    secp256k1_fe_mul(&t, &t, &rr_alt);                  /* t = Ralt*(2*X3 + Q) (1) */
-    secp256k1_fe_add(&t, &n);                           /* t = Ralt*(2*X3 + Q) + M^3*Malt (3) */
-    secp256k1_fe_negate(&r->y, &t, 3);                  /* r->y = -(Ralt*(2*X3 + Q) + M^3*Malt) (4) */
-    secp256k1_fe_half(&r->y);                           /* r->y = Y3 = -(Ralt*(2*X3 + Q) + M^3*Malt)/2 (3) */
+    secp256k1_fe_mul(&r->z, &a->z, &m_alt);             /* r->z = Malt*Z (1) */
+    infinity = secp256k1_fe_normalizes_to_zero(&r->z) * (1 - a->infinity);
+    secp256k1_fe_mul_int(&r->z, 2);                     /* r->z = Z3 = 2*Malt*Z (2) */
+    secp256k1_fe_negate(&q, &q, 1);                     /* q = -Q (2) */
+    secp256k1_fe_add(&t, &q);                           /* t = Ralt^2-Q (3) */
+    secp256k1_fe_normalize_weak(&t);
+    r->x = t;                                           /* r->x = Ralt^2-Q (1) */
+    secp256k1_fe_mul_int(&t, 2);                        /* t = 2*x3 (2) */
+    secp256k1_fe_add(&t, &q);                           /* t = 2*x3 - Q: (4) */
+    secp256k1_fe_mul(&t, &t, &rr_alt);                  /* t = Ralt*(2*x3 - Q) (1) */
+    secp256k1_fe_add(&t, &n);                           /* t = Ralt*(2*x3 - Q) + M^3*Malt (3) */
+    secp256k1_fe_negate(&r->y, &t, 3);                  /* r->y = Ralt*(Q - 2x3) - M^3*Malt (4) */
+    secp256k1_fe_normalize_weak(&r->y);
+    secp256k1_fe_mul_int(&r->x, 4);                     /* r->x = X3 = 4*(Ralt^2-Q) */
+    secp256k1_fe_mul_int(&r->y, 4);                     /* r->y = Y3 = 4*Ralt*(Q - 2x3) - 4*M^3*Malt (4) */
 
     /** In case a->infinity == 1, replace r with (b->x, b->y, 1). */
     secp256k1_fe_cmov(&r->x, &b->x, a->infinity);
     secp256k1_fe_cmov(&r->y, &b->y, a->infinity);
-    secp256k1_fe_cmov(&r->z, &secp256k1_fe_one, a->infinity);
+    secp256k1_fe_cmov(&r->z, &fe_1, a->infinity);
     r->infinity = infinity;
 }
 
@@ -637,23 +672,21 @@ static void secp256k1_ge_from_storage(secp256k1_ge *r, const secp256k1_ge_storag
     r->infinity = 0;
 }
 
-static SECP256K1_INLINE void secp256k1_gej_cmov(secp256k1_gej *r, const secp256k1_gej *a, int flag) {
-    secp256k1_fe_cmov(&r->x, &a->x, flag);
-    secp256k1_fe_cmov(&r->y, &a->y, flag);
-    secp256k1_fe_cmov(&r->z, &a->z, flag);
-
-    r->infinity ^= (r->infinity ^ a->infinity) & flag;
-}
-
 static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage *r, const secp256k1_ge_storage *a, int flag) {
     secp256k1_fe_storage_cmov(&r->x, &a->x, flag);
     secp256k1_fe_storage_cmov(&r->y, &a->y, flag);
 }
 
+#ifdef USE_ENDOMORPHISM
 static void secp256k1_ge_mul_lambda(secp256k1_ge *r, const secp256k1_ge *a) {
+    static const secp256k1_fe beta = SECP256K1_FE_CONST(
+        0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul,
+        0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul
+    );
     *r = *a;
-    secp256k1_fe_mul(&r->x, &r->x, &secp256k1_const_beta);
+    secp256k1_fe_mul(&r->x, &r->x, &beta);
 }
+#endif
 
 static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a) {
     secp256k1_fe yz;
@@ -669,25 +702,4 @@ static int secp256k1_gej_has_quad_y_var(const secp256k1_gej *a) {
     return secp256k1_fe_is_quad_var(&yz);
 }
 
-static int secp256k1_ge_is_in_correct_subgroup(const secp256k1_ge* ge) {
-#ifdef EXHAUSTIVE_TEST_ORDER
-    secp256k1_gej out;
-    int i;
-
-    /* A very simple EC multiplication ladder that avoids a dependency on ecmult. */
-    secp256k1_gej_set_infinity(&out);
-    for (i = 0; i < 32; ++i) {
-        secp256k1_gej_double_var(&out, &out, NULL);
-        if ((((uint32_t)EXHAUSTIVE_TEST_ORDER) >> (31 - i)) & 1) {
-            secp256k1_gej_add_ge_var(&out, &out, ge, NULL);
-        }
-    }
-    return secp256k1_gej_is_infinity(&out);
-#else
-    (void)ge;
-    /* The real secp256k1 group has cofactor 1, so the subgroup is the entire curve. */
-    return 1;
-#endif
-}
-
 #endif /* SECP256K1_GROUP_IMPL_H */

src/hash.h

@@ -1,8 +1,8 @@
-/***********************************************************************
- * Copyright (c) 2014 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_HASH_H
 #define SECP256K1_HASH_H
@@ -12,8 +12,8 @@
 
 typedef struct {
     uint32_t s[8];
-    unsigned char buf[64];
-    uint64_t bytes;
+    uint32_t buf[16]; /* In big endian */
+    size_t bytes;
 } secp256k1_sha256;
 
 static void secp256k1_sha256_initialize(secp256k1_sha256 *hash);

src/hash_impl.h

@@ -1,14 +1,13 @@
-/***********************************************************************
- * Copyright (c) 2014 Pieter Wuille                                    *
- * Distributed under the MIT software license, see the accompanying    *
- * file COPYING or https://www.opensource.org/licenses/mit-license.php.*
- ***********************************************************************/
+/**********************************************************************
+ * Copyright (c) 2014 Pieter Wuille                                   *
+ * Distributed under the MIT software license, see the accompanying   *
+ * file COPYING or http://www.opensource.org/licenses/mit-license.php.*
+ **********************************************************************/
 
 #ifndef SECP256K1_HASH_IMPL_H
 #define SECP256K1_HASH_IMPL_H
 
 #include "hash.h"
-#include "util.h"
 
 #include <stdlib.h>
 #include <stdint.h>
@@ -28,6 +27,12 @@
     (h) = t1 + t2; \
 } while(0)
 
+#ifdef WORDS_BIGENDIAN
+#define BE32(x) (x)
+#else
+#define BE32(p) ((((p) & 0xFF) << 24) | (((p) & 0xFF00) << 8) | (((p) & 0xFF0000) >> 8) | (((p) & 0xFF000000) >> 24))
+#endif
+
 static void secp256k1_sha256_initialize(secp256k1_sha256 *hash) {
     hash->s[0] = 0x6a09e667ul;
     hash->s[1] = 0xbb67ae85ul;
@@ -41,26 +46,26 @@ static void secp256k1_sha256_initialize(secp256k1_sha256 *hash) {
 }
 
 /** Perform one SHA-256 transformation, processing 16 big endian 32-bit words. */
-static void secp256k1_sha256_transform(uint32_t* s, const unsigned char* buf) {
+static void secp256k1_sha256_transform(uint32_t* s, const uint32_t* chunk) {
     uint32_t a = s[0], b = s[1], c = s[2], d = s[3], e = s[4], f = s[5], g = s[6], h = s[7];
     uint32_t w0, w1, w2, w3, w4, w5, w6, w7, w8, w9, w10, w11, w12, w13, w14, w15;
 
-    Round(a, b, c, d, e, f, g, h, 0x428a2f98,  w0 = secp256k1_read_be32(&buf[0]));
-    Round(h, a, b, c, d, e, f, g, 0x71374491,  w1 = secp256k1_read_be32(&buf[4]));
-    Round(g, h, a, b, c, d, e, f, 0xb5c0fbcf,  w2 = secp256k1_read_be32(&buf[8]));
-    Round(f, g, h, a, b, c, d, e, 0xe9b5dba5,  w3 = secp256k1_read_be32(&buf[12]));
-    Round(e, f, g, h, a, b, c, d, 0x3956c25b,  w4 = secp256k1_read_be32(&buf[16]));
-    Round(d, e, f, g, h, a, b, c, 0x59f111f1,  w5 = secp256k1_read_be32(&buf[20]));
-    Round(c, d, e, f, g, h, a, b, 0x923f82a4,  w6 = secp256k1_read_be32(&buf[24]));
-    Round(b, c, d, e, f, g, h, a, 0xab1c5ed5,  w7 = secp256k1_read_be32(&buf[28]));
-    Round(a, b, c, d, e, f, g, h, 0xd807aa98,  w8 = secp256k1_read_be32(&buf[32]));
-    Round(h, a, b, c, d, e, f, g, 0x12835b01,  w9 = secp256k1_read_be32(&buf[36]));
-    Round(g, h, a, b, c, d, e, f, 0x243185be, w10 = secp256k1_read_be32(&buf[40]));
-    Round(f, g, h, a, b, c, d, e, 0x550c7dc3, w11 = secp256k1_read_be32(&buf[44]));
-    Round(e, f, g, h, a, b, c, d, 0x72be5d74, w12 = secp256k1_read_be32(&buf[48]));
-    Round(d, e, f, g, h, a, b, c, 0x80deb1fe, w13 = secp256k1_read_be32(&buf[52]));
-    Round(c, d, e, f, g, h, a, b, 0x9bdc06a7, w14 = secp256k1_read_be32(&buf[56]));
-    Round(b, c, d, e, f, g, h, a, 0xc19bf174, w15 = secp256k1_read_be32(&buf[60]));
+    Round(a, b, c, d, e, f, g, h, 0x428a2f98, w0 = BE32(chunk[0]));
+    Round(h, a, b, c, d, e, f, g, 0x71374491, w1 = BE32(chunk[1]));
+    Round(g, h, a, b, c, d, e, f, 0xb5c0fbcf, w2 = BE32(chunk[2]));
+    Round(f, g, h, a, b, c, d, e, 0xe9b5dba5, w3 = BE32(chunk[3]));
+    Round(e, f, g, h, a, b, c, d, 0x3956c25b, w4 = BE32(chunk[4]));
+    Round(d, e, f, g, h, a, b, c, 0x59f111f1, w5 = BE32(chunk[5]));
+    Round(c, d, e, f, g, h, a, b, 0x923f82a4, w6 = BE32(chunk[6]));
+    Round(b, c, d, e, f, g, h, a, 0xab1c5ed5, w7 = BE32(chunk[7]));
+    Round(a, b, c, d, e, f, g, h, 0xd807aa98, w8 = BE32(chunk[8]));
+    Round(h, a, b, c, d, e, f, g, 0x12835b01, w9 = BE32(chunk[9]));
+    Round(g, h, a, b, c, d, e, f, 0x243185be, w10 = BE32(chunk[10]));
+    Round(f, g, h, a, b, c, d, e, 0x550c7dc3, w11 = BE32(chunk[11]));
+    Round(e, f, g, h, a, b, c, d, 0x72be5d74, w12 = BE32(chunk[12]));
+    Round(d, e, f, g, h, a, b, c, 0x80deb1fe, w13 = BE32(chunk[13]));
+    Round(c, d, e, f, g, h, a, b, 0x9bdc06a7, w14 = BE32(chunk[14]));
+    Round(b, c, d, e, f, g, h, a, 0xc19bf174, w15 = BE32(chunk[15]));
 
     Round(a, b, c, d, e, f, g, h, 0xe49b69c1, w0 += sigma1(w14) + w9 + sigma0(w1));
     Round(h, a, b, c, d, e, f, g, 0xefbe4786, w1 += sigma1(w15) + w10 + sigma0(w2));
@@ -130,7 +135,7 @@ static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char *
     while (len >= 64 - bufsize) {
         /* Fill the buffer, and process it. */
         size_t chunk_len = 64 - bufsize;
-        memcpy(hash->buf + bufsize, data, chunk_len);
+        memcpy(((unsigned char*)hash->buf) + bufsize, data, chunk_len);
         data += chunk_len;
         len -= chunk_len;
         secp256k1_sha256_transform(hash->s, hash->buf);
@@ -143,32 +148,19 @@ static void secp256k1_sha256_write(secp256k1_sha256 *hash, const unsigned char *
 }
 
 static void secp256k1_sha256_finalize(secp256k1_sha256 *hash, unsigned char *out32) {
-    static const unsigned char pad[64] = {0x80};
-    unsigned char sizedesc[8];
-    int i;
-    /* The maximum message size of SHA256 is 2^64-1 bits. */
-    VERIFY_CHECK(hash->bytes < ((uint64_t)1 << 61));
-    secp256k1_write_be32(&sizedesc[0], hash->bytes >> 29);
-    secp256k1_write_be32(&sizedesc[4], hash->bytes << 3);
+    static const unsigned char pad[64] = {0x80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0};
+    uint32_t sizedesc[2];
+    uint32_t out[8];
+    int i = 0;
+    sizedesc[0] = BE32(hash->bytes >> 29);
+    sizedesc[1] = BE32(hash->bytes << 3);
     secp256k1_sha256_write(hash, pad, 1 + ((119 - (hash->bytes % 64)) % 64));
-    secp256k1_sha256_write(hash, sizedesc, 8);
+    secp256k1_sha256_write(hash, (const unsigned char*)sizedesc, 8);
     for (i = 0; i < 8; i++) {
-        secp256k1_write_be32(&out32[4*i], hash->s[i]);
+        out[i] = BE32(hash->s[i]);
         hash->s[i] = 0;
     }
-}
-
-/* Initializes a sha256 struct and writes the 64 byte string
- * SHA256(tag)||SHA256(tag) into it. */
-static void secp256k1_sha256_initialize_tagged(secp256k1_sha256 *hash, const unsigned char *tag, size_t taglen) {
-    unsigned char buf[32];
-    secp256k1_sha256_initialize(hash);
-    secp256k1_sha256_write(hash, tag, taglen);
-    secp256k1_sha256_finalize(hash, buf);
-
-    secp256k1_sha256_initialize(hash);
-    secp256k1_sha256_write(hash, buf, 32);
-    secp256k1_sha256_write(hash, buf, 32);
+    memcpy(out32, (const unsigned char*)out, 32);
 }
 
 static void secp256k1_hmac_sha256_initialize(secp256k1_hmac_sha256 *hash, const unsigned char *key, size_t keylen) {
@@ -279,6 +271,7 @@ static void secp256k1_rfc6979_hmac_sha256_finalize(secp256k1_rfc6979_hmac_sha256
     rng->retry = 0;
 }
 
+#undef BE32
 #undef Round
 #undef sigma1
 #undef sigma0

src/java/org/bitcoin/NativeSecp256k1.java

@@ -0,0 +1,446 @@
+/*
+ * Copyright 2013 Google Inc.
+ * Copyright 2014-2016 the libsecp256k1 contributors
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.bitcoin;
+
+import java.nio.ByteBuffer;
+import java.nio.ByteOrder;
+
+import java.math.BigInteger;
+import com.google.common.base.Preconditions;
+import java.util.concurrent.locks.Lock;
+import java.util.concurrent.locks.ReentrantReadWriteLock;
+import static org.bitcoin.NativeSecp256k1Util.*;
+
+/**
+ * <p>This class holds native methods to handle ECDSA verification.</p>
+ *
+ * <p>You can find an example library that can be used for this at https://github.com/bitcoin/secp256k1</p>
+ *
+ * <p>To build secp256k1 for use with bitcoinj, run
+ * `./configure --enable-jni --enable-experimental --enable-module-ecdh`
+ * and `make` then copy `.libs/libsecp256k1.so` to your system library path
+ * or point the JVM to the folder containing it with -Djava.library.path
+ * </p>
+ */
+public class NativeSecp256k1 {
+
+    private static final ReentrantReadWriteLock rwl = new ReentrantReadWriteLock();
+    private static final Lock r = rwl.readLock();
+    private static final Lock w = rwl.writeLock();
+    private static ThreadLocal<ByteBuffer> nativeECDSABuffer = new ThreadLocal<ByteBuffer>();
+    /**
+     * Verifies the given secp256k1 signature in native code.
+     * Calling when enabled == false is undefined (probably library not loaded)
+     *
+     * @param data The data which was signed, must be exactly 32 bytes
+     * @param signature The signature
+     * @param pub The public key which did the signing
+     */
+    public static boolean verify(byte[] data, byte[] signature, byte[] pub) throws AssertFailException{
+        Preconditions.checkArgument(data.length == 32 && signature.length <= 520 && pub.length <= 520);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < 520) {
+            byteBuff = ByteBuffer.allocateDirect(520);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(data);
+        byteBuff.put(signature);
+        byteBuff.put(pub);
+
+        byte[][] retByteArray;
+
+        r.lock();
+        try {
+          return secp256k1_ecdsa_verify(byteBuff, Secp256k1Context.getContext(), signature.length, pub.length) == 1;
+        } finally {
+          r.unlock();
+        }
+    }
+
+    /**
+     * libsecp256k1 Create an ECDSA signature.
+     *
+     * @param data Message hash, 32 bytes
+     * @param key Secret key, 32 bytes
+     *
+     * Return values
+     * @param sig byte array of signature
+     */
+    public static byte[] sign(byte[] data, byte[] sec) throws AssertFailException{
+        Preconditions.checkArgument(data.length == 32 && sec.length <= 32);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < 32 + 32) {
+            byteBuff = ByteBuffer.allocateDirect(32 + 32);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(data);
+        byteBuff.put(sec);
+
+        byte[][] retByteArray;
+
+        r.lock();
+        try {
+          retByteArray = secp256k1_ecdsa_sign(byteBuff, Secp256k1Context.getContext());
+        } finally {
+          r.unlock();
+        }
+
+        byte[] sigArr = retByteArray[0];
+        int sigLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue();
+        int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
+
+        assertEquals(sigArr.length, sigLen, "Got bad signature length.");
+
+        return retVal == 0 ? new byte[0] : sigArr;
+    }
+
+    /**
+     * libsecp256k1 Seckey Verify - returns 1 if valid, 0 if invalid
+     *
+     * @param seckey ECDSA Secret key, 32 bytes
+     */
+    public static boolean secKeyVerify(byte[] seckey) {
+        Preconditions.checkArgument(seckey.length == 32);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < seckey.length) {
+            byteBuff = ByteBuffer.allocateDirect(seckey.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(seckey);
+
+        r.lock();
+        try {
+          return secp256k1_ec_seckey_verify(byteBuff,Secp256k1Context.getContext()) == 1;
+        } finally {
+          r.unlock();
+        }
+    }
+
+
+    /**
+     * libsecp256k1 Compute Pubkey - computes public key from secret key
+     *
+     * @param seckey ECDSA Secret key, 32 bytes
+     *
+     * Return values
+     * @param pubkey ECDSA Public key, 33 or 65 bytes
+     */
+    //TODO add a 'compressed' arg
+    public static byte[] computePubkey(byte[] seckey) throws AssertFailException{
+        Preconditions.checkArgument(seckey.length == 32);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < seckey.length) {
+            byteBuff = ByteBuffer.allocateDirect(seckey.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(seckey);
+
+        byte[][] retByteArray;
+
+        r.lock();
+        try {
+          retByteArray = secp256k1_ec_pubkey_create(byteBuff, Secp256k1Context.getContext());
+        } finally {
+          r.unlock();
+        }
+
+        byte[] pubArr = retByteArray[0];
+        int pubLen = new BigInteger(new byte[] { retByteArray[1][0] }).intValue();
+        int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
+
+        assertEquals(pubArr.length, pubLen, "Got bad pubkey length.");
+
+        return retVal == 0 ? new byte[0]: pubArr;
+    }
+
+    /**
+     * libsecp256k1 Cleanup - This destroys the secp256k1 context object
+     * This should be called at the end of the program for proper cleanup of the context.
+     */
+    public static synchronized void cleanup() {
+        w.lock();
+        try {
+          secp256k1_destroy_context(Secp256k1Context.getContext());
+        } finally {
+          w.unlock();
+        }
+    }
+
+    public static long cloneContext() {
+       r.lock();
+       try {
+        return secp256k1_ctx_clone(Secp256k1Context.getContext());
+       } finally { r.unlock(); }
+    }
+
+    /**
+     * libsecp256k1 PrivKey Tweak-Mul - Tweak privkey by multiplying to it
+     *
+     * @param tweak some bytes to tweak with
+     * @param seckey 32-byte seckey
+     */
+    public static byte[] privKeyTweakMul(byte[] privkey, byte[] tweak) throws AssertFailException{
+        Preconditions.checkArgument(privkey.length == 32);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) {
+            byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(privkey);
+        byteBuff.put(tweak);
+
+        byte[][] retByteArray;
+        r.lock();
+        try {
+          retByteArray = secp256k1_privkey_tweak_mul(byteBuff,Secp256k1Context.getContext());
+        } finally {
+          r.unlock();
+        }
+
+        byte[] privArr = retByteArray[0];
+
+        int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
+        int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
+
+        assertEquals(privArr.length, privLen, "Got bad pubkey length.");
+
+        assertEquals(retVal, 1, "Failed return value check.");
+
+        return privArr;
+    }
+
+    /**
+     * libsecp256k1 PrivKey Tweak-Add - Tweak privkey by adding to it
+     *
+     * @param tweak some bytes to tweak with
+     * @param seckey 32-byte seckey
+     */
+    public static byte[] privKeyTweakAdd(byte[] privkey, byte[] tweak) throws AssertFailException{
+        Preconditions.checkArgument(privkey.length == 32);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < privkey.length + tweak.length) {
+            byteBuff = ByteBuffer.allocateDirect(privkey.length + tweak.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(privkey);
+        byteBuff.put(tweak);
+
+        byte[][] retByteArray;
+        r.lock();
+        try {
+          retByteArray = secp256k1_privkey_tweak_add(byteBuff,Secp256k1Context.getContext());
+        } finally {
+          r.unlock();
+        }
+
+        byte[] privArr = retByteArray[0];
+
+        int privLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
+        int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
+
+        assertEquals(privArr.length, privLen, "Got bad pubkey length.");
+
+        assertEquals(retVal, 1, "Failed return value check.");
+
+        return privArr;
+    }
+
+    /**
+     * libsecp256k1 PubKey Tweak-Add - Tweak pubkey by adding to it
+     *
+     * @param tweak some bytes to tweak with
+     * @param pubkey 32-byte seckey
+     */
+    public static byte[] pubKeyTweakAdd(byte[] pubkey, byte[] tweak) throws AssertFailException{
+        Preconditions.checkArgument(pubkey.length == 33 || pubkey.length == 65);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) {
+            byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(pubkey);
+        byteBuff.put(tweak);
+
+        byte[][] retByteArray;
+        r.lock();
+        try {
+          retByteArray = secp256k1_pubkey_tweak_add(byteBuff,Secp256k1Context.getContext(), pubkey.length);
+        } finally {
+          r.unlock();
+        }
+
+        byte[] pubArr = retByteArray[0];
+
+        int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
+        int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
+
+        assertEquals(pubArr.length, pubLen, "Got bad pubkey length.");
+
+        assertEquals(retVal, 1, "Failed return value check.");
+
+        return pubArr;
+    }
+
+    /**
+     * libsecp256k1 PubKey Tweak-Mul - Tweak pubkey by multiplying to it
+     *
+     * @param tweak some bytes to tweak with
+     * @param pubkey 32-byte seckey
+     */
+    public static byte[] pubKeyTweakMul(byte[] pubkey, byte[] tweak) throws AssertFailException{
+        Preconditions.checkArgument(pubkey.length == 33 || pubkey.length == 65);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < pubkey.length + tweak.length) {
+            byteBuff = ByteBuffer.allocateDirect(pubkey.length + tweak.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(pubkey);
+        byteBuff.put(tweak);
+
+        byte[][] retByteArray;
+        r.lock();
+        try {
+          retByteArray = secp256k1_pubkey_tweak_mul(byteBuff,Secp256k1Context.getContext(), pubkey.length);
+        } finally {
+          r.unlock();
+        }
+
+        byte[] pubArr = retByteArray[0];
+
+        int pubLen = (byte) new BigInteger(new byte[] { retByteArray[1][0] }).intValue() & 0xFF;
+        int retVal = new BigInteger(new byte[] { retByteArray[1][1] }).intValue();
+
+        assertEquals(pubArr.length, pubLen, "Got bad pubkey length.");
+
+        assertEquals(retVal, 1, "Failed return value check.");
+
+        return pubArr;
+    }
+
+    /**
+     * libsecp256k1 create ECDH secret - constant time ECDH calculation
+     *
+     * @param seckey byte array of secret key used in exponentiaion
+     * @param pubkey byte array of public key used in exponentiaion
+     */
+    public static byte[] createECDHSecret(byte[] seckey, byte[] pubkey) throws AssertFailException{
+        Preconditions.checkArgument(seckey.length <= 32 && pubkey.length <= 65);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < 32 + pubkey.length) {
+            byteBuff = ByteBuffer.allocateDirect(32 + pubkey.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(seckey);
+        byteBuff.put(pubkey);
+
+        byte[][] retByteArray;
+        r.lock();
+        try {
+          retByteArray = secp256k1_ecdh(byteBuff, Secp256k1Context.getContext(), pubkey.length);
+        } finally {
+          r.unlock();
+        }
+
+        byte[] resArr = retByteArray[0];
+        int retVal = new BigInteger(new byte[] { retByteArray[1][0] }).intValue();
+
+        assertEquals(resArr.length, 32, "Got bad result length.");
+        assertEquals(retVal, 1, "Failed return value check.");
+
+        return resArr;
+    }
+
+    /**
+     * libsecp256k1 randomize - updates the context randomization
+     *
+     * @param seed 32-byte random seed
+     */
+    public static synchronized boolean randomize(byte[] seed) throws AssertFailException{
+        Preconditions.checkArgument(seed.length == 32 || seed == null);
+
+        ByteBuffer byteBuff = nativeECDSABuffer.get();
+        if (byteBuff == null || byteBuff.capacity() < seed.length) {
+            byteBuff = ByteBuffer.allocateDirect(seed.length);
+            byteBuff.order(ByteOrder.nativeOrder());
+            nativeECDSABuffer.set(byteBuff);
+        }
+        byteBuff.rewind();
+        byteBuff.put(seed);
+
+        w.lock();
+        try {
+          return secp256k1_context_randomize(byteBuff, Secp256k1Context.getContext()) == 1;
+        } finally {
+          w.unlock();
+        }
+    }
+
+    private static native long secp256k1_ctx_clone(long context);
+
+    private static native int secp256k1_context_randomize(ByteBuffer byteBuff, long context);
+
+    private static native byte[][] secp256k1_privkey_tweak_add(ByteBuffer byteBuff, long context);
+
+    private static native byte[][] secp256k1_privkey_tweak_mul(ByteBuffer byteBuff, long context);
+
+    private static native byte[][] secp256k1_pubkey_tweak_add(ByteBuffer byteBuff, long context, int pubLen);
+
+    private static native byte[][] secp256k1_pubkey_tweak_mul(ByteBuffer byteBuff, long context, int pubLen);
+
+    private static native void secp256k1_destroy_context(long context);
+
+    private static native int secp256k1_ecdsa_verify(ByteBuffer byteBuff, long context, int sigLen, int pubLen);
+
+    private static native byte[][] secp256k1_ecdsa_sign(ByteBuffer byteBuff, long context);
+
+    private static native int secp256k1_ec_seckey_verify(ByteBuffer byteBuff, long context);
+
+    private static native byte[][] secp256k1_ec_pubkey_create(ByteBuffer byteBuff, long context);
+
+    private static native byte[][] secp256k1_ec_pubkey_parse(ByteBuffer byteBuff, long context, int inputLen);
+
+    private static native byte[][] secp256k1_ecdh(ByteBuffer byteBuff, long context, int inputLen);
+
+}

src/java/org/bitcoin/NativeSecp256k1Test.java

@@ -0,0 +1,226 @@
+package org.bitcoin;
+
+import com.google.common.io.BaseEncoding;
+import java.util.Arrays;
+import java.math.BigInteger;
+import javax.xml.bind.DatatypeConverter;
+import static org.bitcoin.NativeSecp256k1Util.*;
+
+/**
+ * This class holds test cases defined for testing this library.
+ */
+public class NativeSecp256k1Test {
+
+    //TODO improve comments/add more tests
+    /**
+      * This tests verify() for a valid signature
+      */
+    public static void testVerifyPos() throws AssertFailException{
+        boolean result = false;
+        byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing"
+        byte[] sig = BaseEncoding.base16().lowerCase().decode("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589".toLowerCase());
+        byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
+
+        result = NativeSecp256k1.verify( data, sig, pub);
+        assertEquals( result, true , "testVerifyPos");
+    }
+
+    /**
+      * This tests verify() for a non-valid signature
+      */
+    public static void testVerifyNeg() throws AssertFailException{
+        boolean result = false;
+        byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A91".toLowerCase()); //sha256hash of "testing"
+        byte[] sig = BaseEncoding.base16().lowerCase().decode("3044022079BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F817980220294F14E883B3F525B5367756C2A11EF6CF84B730B36C17CB0C56F0AAB2C98589".toLowerCase());
+        byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
+
+        result = NativeSecp256k1.verify( data, sig, pub);
+        //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16));
+        assertEquals( result, false , "testVerifyNeg");
+    }
+
+    /**
+      * This tests secret key verify() for a valid secretkey
+      */
+    public static void testSecKeyVerifyPos() throws AssertFailException{
+        boolean result = false;
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
+
+        result = NativeSecp256k1.secKeyVerify( sec );
+        //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16));
+        assertEquals( result, true , "testSecKeyVerifyPos");
+    }
+
+    /**
+      * This tests secret key verify() for an invalid secretkey
+      */
+    public static void testSecKeyVerifyNeg() throws AssertFailException{
+        boolean result = false;
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase());
+
+        result = NativeSecp256k1.secKeyVerify( sec );
+        //System.out.println(" TEST " + new BigInteger(1, resultbytes).toString(16));
+        assertEquals( result, false , "testSecKeyVerifyNeg");
+    }
+
+    /**
+      * This tests public key create() for a valid secretkey
+      */
+    public static void testPubKeyCreatePos() throws AssertFailException{
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
+
+        byte[] resultArr = NativeSecp256k1.computePubkey( sec);
+        String pubkeyString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( pubkeyString , "04C591A8FF19AC9C4E4E5793673B83123437E975285E7B442F4EE2654DFFCA5E2D2103ED494718C697AC9AEBCFD19612E224DB46661011863ED2FC54E71861E2A6" , "testPubKeyCreatePos");
+    }
+
+    /**
+      * This tests public key create() for a invalid secretkey
+      */
+    public static void testPubKeyCreateNeg() throws AssertFailException{
+       byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase());
+
+       byte[] resultArr = NativeSecp256k1.computePubkey( sec);
+       String pubkeyString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+       assertEquals( pubkeyString, "" , "testPubKeyCreateNeg");
+    }
+
+    /**
+      * This tests sign() for a valid secretkey
+      */
+    public static void testSignPos() throws AssertFailException{
+
+        byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing"
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
+
+        byte[] resultArr = NativeSecp256k1.sign(data, sec);
+        String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( sigString, "30440220182A108E1448DC8F1FB467D06A0F3BB8EA0533584CB954EF8DA112F1D60E39A202201C66F36DA211C087F3AF88B50EDF4F9BDAA6CF5FD6817E74DCA34DB12390C6E9" , "testSignPos");
+    }
+
+    /**
+      * This tests sign() for a invalid secretkey
+      */
+    public static void testSignNeg() throws AssertFailException{
+        byte[] data = BaseEncoding.base16().lowerCase().decode("CF80CD8AED482D5D1527D7DC72FCEFF84E6326592848447D2DC0B0E87DFC9A90".toLowerCase()); //sha256hash of "testing"
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF".toLowerCase());
+
+        byte[] resultArr = NativeSecp256k1.sign(data, sec);
+        String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( sigString, "" , "testSignNeg");
+    }
+
+    /**
+      * This tests private key tweak-add
+      */
+    public static void testPrivKeyTweakAdd_1() throws AssertFailException {
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
+        byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
+
+        byte[] resultArr = NativeSecp256k1.privKeyTweakAdd( sec , data );
+        String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( sigString , "A168571E189E6F9A7E2D657A4B53AE99B909F7E712D1C23CED28093CD57C88F3" , "testPrivKeyAdd_1");
+    }
+
+    /**
+      * This tests private key tweak-mul
+      */
+    public static void testPrivKeyTweakMul_1() throws AssertFailException {
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
+        byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
+
+        byte[] resultArr = NativeSecp256k1.privKeyTweakMul( sec , data );
+        String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( sigString , "97F8184235F101550F3C71C927507651BD3F1CDB4A5A33B8986ACF0DEE20FFFC" , "testPrivKeyMul_1");
+    }
+
+    /**
+      * This tests private key tweak-add uncompressed
+      */
+    public static void testPrivKeyTweakAdd_2() throws AssertFailException {
+        byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
+        byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
+
+        byte[] resultArr = NativeSecp256k1.pubKeyTweakAdd( pub , data );
+        String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( sigString , "0411C6790F4B663CCE607BAAE08C43557EDC1A4D11D88DFCB3D841D0C6A941AF525A268E2A863C148555C48FB5FBA368E88718A46E205FABC3DBA2CCFFAB0796EF" , "testPrivKeyAdd_2");
+    }
+
+    /**
+      * This tests private key tweak-mul uncompressed
+      */
+    public static void testPrivKeyTweakMul_2() throws AssertFailException {
+        byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
+        byte[] data = BaseEncoding.base16().lowerCase().decode("3982F19BEF1615BCCFBB05E321C10E1D4CBA3DF0E841C2E41EEB6016347653C3".toLowerCase()); //sha256hash of "tweak"
+
+        byte[] resultArr = NativeSecp256k1.pubKeyTweakMul( pub , data );
+        String sigString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( sigString , "04E0FE6FE55EBCA626B98A807F6CAF654139E14E5E3698F01A9A658E21DC1D2791EC060D4F412A794D5370F672BC94B722640B5F76914151CFCA6E712CA48CC589" , "testPrivKeyMul_2");
+    }
+
+    /**
+      * This tests seed randomization
+      */
+    public static void testRandomize() throws AssertFailException {
+        byte[] seed = BaseEncoding.base16().lowerCase().decode("A441B15FE9A3CF56661190A0B93B9DEC7D04127288CC87250967CF3B52894D11".toLowerCase()); //sha256hash of "random"
+        boolean result = NativeSecp256k1.randomize(seed);
+        assertEquals( result, true, "testRandomize");
+    }
+
+    public static void testCreateECDHSecret() throws AssertFailException{
+
+        byte[] sec = BaseEncoding.base16().lowerCase().decode("67E56582298859DDAE725F972992A07C6C4FB9F62A8FFF58CE3CA926A1063530".toLowerCase());
+        byte[] pub = BaseEncoding.base16().lowerCase().decode("040A629506E1B65CD9D2E0BA9C75DF9C4FED0DB16DC9625ED14397F0AFC836FAE595DC53F8B0EFE61E703075BD9B143BAC75EC0E19F82A2208CAEB32BE53414C40".toLowerCase());
+
+        byte[] resultArr = NativeSecp256k1.createECDHSecret(sec, pub);
+        String ecdhString = javax.xml.bind.DatatypeConverter.printHexBinary(resultArr);
+        assertEquals( ecdhString, "2A2A67007A926E6594AF3EB564FC74005B37A9C8AEF2033C4552051B5C87F043" , "testCreateECDHSecret");
+    }
+
+    public static void main(String[] args) throws AssertFailException{
+
+
+        System.out.println("\n libsecp256k1 enabled: " + Secp256k1Context.isEnabled() + "\n");
+
+        assertEquals( Secp256k1Context.isEnabled(), true, "isEnabled" );
+
+        //Test verify() success/fail
+        testVerifyPos();
+        testVerifyNeg();
+
+        //Test secKeyVerify() success/fail
+        testSecKeyVerifyPos();
+        testSecKeyVerifyNeg();
+
+        //Test computePubkey() success/fail
+        testPubKeyCreatePos();
+        testPubKeyCreateNeg();
+
+        //Test sign() success/fail
+        testSignPos();
+        testSignNeg();
+
+        //Test privKeyTweakAdd() 1
+        testPrivKeyTweakAdd_1();
+
+        //Test privKeyTweakMul() 2
+        testPrivKeyTweakMul_1();
+
+        //Test privKeyTweakAdd() 3
+        testPrivKeyTweakAdd_2();
+
+        //Test privKeyTweakMul() 4
+        testPrivKeyTweakMul_2();
+
+        //Test randomize()
+        testRandomize();
+
+        //Test ECDH
+        testCreateECDHSecret();
+
+        NativeSecp256k1.cleanup();
+
+        System.out.println(" All tests passed." );
+
+    }
+}

src/java/org/bitcoin/NativeSecp256k1Util.java

@@ -0,0 +1,45 @@
+/*
+ * Copyright 2014-2016 the libsecp256k1 contributors
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.bitcoin;
+
+public class NativeSecp256k1Util{
+
+    public static void assertEquals( int val, int val2, String message ) throws AssertFailException{
+      if( val != val2 )
+        throw new AssertFailException("FAIL: " + message);
+    }
+
+    public static void assertEquals( boolean val, boolean val2, String message ) throws AssertFailException{
+      if( val != val2 )
+        throw new AssertFailException("FAIL: " + message);
+      else
+        System.out.println("PASS: " + message);
+    }
+
+    public static void assertEquals( String val, String val2, String message ) throws AssertFailException{
+      if( !val.equals(val2) )
+        throw new AssertFailException("FAIL: " + message);
+      else
+        System.out.println("PASS: " + message);
+    }
+
+    public static class AssertFailException extends Exception {
+      public AssertFailException(String message) {
+        super( message );
+      }
+    }
+}

src/java/org/bitcoin/Secp256k1Context.java

@@ -0,0 +1,51 @@
+/*
+ * Copyright 2014-2016 the libsecp256k1 contributors
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *    http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+package org.bitcoin;
+
+/**
+ * This class holds the context reference used in native methods 
+ * to handle ECDSA operations.
+ */
+public class Secp256k1Context {
+  private static final boolean enabled; //true if the library is loaded
+  private static final long context; //ref to pointer to context obj
+
+  static { //static initializer
+      boolean isEnabled = true;
+      long contextRef = -1;
+      try {
+          System.loadLibrary("secp256k1");
+          contextRef = secp256k1_init_context();
+      } catch (UnsatisfiedLinkError e) {
+          System.out.println("UnsatisfiedLinkError: " + e.toString());
+          isEnabled = false;
+      }
+      enabled = isEnabled;
+      context = contextRef;
+  }
+
+  public static boolean isEnabled() {
+     return enabled;
+  }
+
+  public static long getContext() {
+     if(!enabled) return -1; //sanity check
+     return context;
+  }
+
+  private static native long secp256k1_init_context();
+}

src/java/org_bitcoin_NativeSecp256k1.c

@@ -0,0 +1,379 @@
+#include <stdlib.h>
+#include <stdint.h>
+#include <string.h>
+#include "org_bitcoin_NativeSecp256k1.h"
+#include "include/secp256k1.h"
+#include "include/secp256k1_ecdh.h"
+#include "include/secp256k1_recovery.h"
+
+
+SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone
+  (JNIEnv* env, jclass classObject, jlong ctx_l)
+{
+  const secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+
+  jlong ctx_clone_l = (uintptr_t) secp256k1_context_clone(ctx);
+
+  (void)classObject;(void)env;
+
+  return ctx_clone_l;
+
+}
+
+SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+
+  const unsigned char* seed = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+
+  (void)classObject;
+
+  return secp256k1_context_randomize(ctx, seed);
+
+}
+
+SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context
+  (JNIEnv* env, jclass classObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+
+  secp256k1_context_destroy(ctx);
+
+  (void)classObject;(void)env;
+}
+
+SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint siglen, jint publen)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+
+  unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  const unsigned char* sigdata = {  (unsigned char*) (data + 32) };
+  const unsigned char* pubdata = { (unsigned char*) (data + siglen + 32) };
+
+  secp256k1_ecdsa_signature sig;
+  secp256k1_pubkey pubkey;
+
+  int ret = secp256k1_ecdsa_signature_parse_der(ctx, &sig, sigdata, siglen);
+
+  if( ret ) {
+    ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen);
+
+    if( ret ) {
+      ret = secp256k1_ecdsa_verify(ctx, &sig, data, &pubkey);
+    }
+  }
+
+  (void)classObject;
+
+  return ret;
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  unsigned char* data = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  unsigned char* secKey = (unsigned char*) (data + 32);
+
+  jobjectArray retArray;
+  jbyteArray sigArray, intsByteArray;
+  unsigned char intsarray[2];
+
+  secp256k1_ecdsa_signature sig[72];
+
+  int ret = secp256k1_ecdsa_sign(ctx, sig, data, secKey, NULL, NULL);
+
+  unsigned char outputSer[72];
+  size_t outputLen = 72;
+
+  if( ret ) {
+    int ret2 = secp256k1_ecdsa_signature_serialize_der(ctx,outputSer, &outputLen, sig ); (void)ret2;
+  }
+
+  intsarray[0] = outputLen;
+  intsarray[1] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  sigArray = (*env)->NewByteArray(env, outputLen);
+  (*env)->SetByteArrayRegion(env, sigArray, 0, outputLen, (jbyte*)outputSer);
+  (*env)->SetObjectArrayElement(env, retArray, 0, sigArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 2);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+}
+
+SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+
+  (void)classObject;
+
+  return secp256k1_ec_seckey_verify(ctx, secKey);
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  const unsigned char* secKey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+
+  secp256k1_pubkey pubkey;
+
+  jobjectArray retArray;
+  jbyteArray pubkeyArray, intsByteArray;
+  unsigned char intsarray[2];
+
+  int ret = secp256k1_ec_pubkey_create(ctx, &pubkey, secKey);
+
+  unsigned char outputSer[65];
+  size_t outputLen = 65;
+
+  if( ret ) {
+    int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2;
+  }
+
+  intsarray[0] = outputLen;
+  intsarray[1] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  pubkeyArray = (*env)->NewByteArray(env, outputLen);
+  (*env)->SetByteArrayRegion(env, pubkeyArray, 0, outputLen, (jbyte*)outputSer);
+  (*env)->SetObjectArrayElement(env, retArray, 0, pubkeyArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 2);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  const unsigned char* tweak = (unsigned char*) (privkey + 32);
+
+  jobjectArray retArray;
+  jbyteArray privArray, intsByteArray;
+  unsigned char intsarray[2];
+
+  int privkeylen = 32;
+
+  int ret = secp256k1_ec_privkey_tweak_add(ctx, privkey, tweak);
+
+  intsarray[0] = privkeylen;
+  intsarray[1] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  privArray = (*env)->NewByteArray(env, privkeylen);
+  (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey);
+  (*env)->SetObjectArrayElement(env, retArray, 0, privArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 2);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  unsigned char* privkey = (unsigned char*) (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  const unsigned char* tweak = (unsigned char*) (privkey + 32);
+
+  jobjectArray retArray;
+  jbyteArray privArray, intsByteArray;
+  unsigned char intsarray[2];
+
+  int privkeylen = 32;
+
+  int ret = secp256k1_ec_privkey_tweak_mul(ctx, privkey, tweak);
+
+  intsarray[0] = privkeylen;
+  intsarray[1] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  privArray = (*env)->NewByteArray(env, privkeylen);
+  (*env)->SetByteArrayRegion(env, privArray, 0, privkeylen, (jbyte*)privkey);
+  (*env)->SetObjectArrayElement(env, retArray, 0, privArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 2);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+/*  secp256k1_pubkey* pubkey = (secp256k1_pubkey*) (*env)->GetDirectBufferAddress(env, byteBufferObject);*/
+  unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  const unsigned char* tweak = (unsigned char*) (pkey + publen);
+
+  jobjectArray retArray;
+  jbyteArray pubArray, intsByteArray;
+  unsigned char intsarray[2];
+  unsigned char outputSer[65];
+  size_t outputLen = 65;
+
+  secp256k1_pubkey pubkey;
+  int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen);
+
+  if( ret ) {
+    ret = secp256k1_ec_pubkey_tweak_add(ctx, &pubkey, tweak);
+  }
+
+  if( ret ) {
+    int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2;
+  }
+
+  intsarray[0] = outputLen;
+  intsarray[1] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  pubArray = (*env)->NewByteArray(env, outputLen);
+  (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer);
+  (*env)->SetObjectArrayElement(env, retArray, 0, pubArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 2);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  unsigned char* pkey = (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  const unsigned char* tweak = (unsigned char*) (pkey + publen);
+
+  jobjectArray retArray;
+  jbyteArray pubArray, intsByteArray;
+  unsigned char intsarray[2];
+  unsigned char outputSer[65];
+  size_t outputLen = 65;
+
+  secp256k1_pubkey pubkey;
+  int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pkey, publen);
+
+  if ( ret ) {
+    ret = secp256k1_ec_pubkey_tweak_mul(ctx, &pubkey, tweak);
+  }
+
+  if( ret ) {
+    int ret2 = secp256k1_ec_pubkey_serialize(ctx,outputSer, &outputLen, &pubkey,SECP256K1_EC_UNCOMPRESSED );(void)ret2;
+  }
+
+  intsarray[0] = outputLen;
+  intsarray[1] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  pubArray = (*env)->NewByteArray(env, outputLen);
+  (*env)->SetByteArrayRegion(env, pubArray, 0, outputLen, (jbyte*)outputSer);
+  (*env)->SetObjectArrayElement(env, retArray, 0, pubArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 2);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 2, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+}
+
+SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1pubkey_1combine
+  (JNIEnv * env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint numkeys)
+{
+  (void)classObject;(void)env;(void)byteBufferObject;(void)ctx_l;(void)numkeys;
+
+  return 0;
+}
+
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen)
+{
+  secp256k1_context *ctx = (secp256k1_context*)(uintptr_t)ctx_l;
+  const unsigned char* secdata = (*env)->GetDirectBufferAddress(env, byteBufferObject);
+  const unsigned char* pubdata = (const unsigned char*) (secdata + 32);
+
+  jobjectArray retArray;
+  jbyteArray outArray, intsByteArray;
+  unsigned char intsarray[1];
+  secp256k1_pubkey pubkey;
+  unsigned char nonce_res[32];
+  size_t outputLen = 32;
+
+  int ret = secp256k1_ec_pubkey_parse(ctx, &pubkey, pubdata, publen);
+
+  if (ret) {
+    ret = secp256k1_ecdh(
+      ctx,
+      nonce_res,
+      &pubkey,
+      secdata,
+      NULL,
+      NULL
+    );
+  }
+
+  intsarray[0] = ret;
+
+  retArray = (*env)->NewObjectArray(env, 2,
+    (*env)->FindClass(env, "[B"),
+    (*env)->NewByteArray(env, 1));
+
+  outArray = (*env)->NewByteArray(env, outputLen);
+  (*env)->SetByteArrayRegion(env, outArray, 0, 32, (jbyte*)nonce_res);
+  (*env)->SetObjectArrayElement(env, retArray, 0, outArray);
+
+  intsByteArray = (*env)->NewByteArray(env, 1);
+  (*env)->SetByteArrayRegion(env, intsByteArray, 0, 1, (jbyte*)intsarray);
+  (*env)->SetObjectArrayElement(env, retArray, 1, intsByteArray);
+
+  (void)classObject;
+
+  return retArray;
+}

src/java/org_bitcoin_NativeSecp256k1.h

@@ -0,0 +1,119 @@
+/* DO NOT EDIT THIS FILE - it is machine generated */
+#include <jni.h>
+#include "include/secp256k1.h"
+/* Header for class org_bitcoin_NativeSecp256k1 */
+
+#ifndef _Included_org_bitcoin_NativeSecp256k1
+#define _Included_org_bitcoin_NativeSecp256k1
+#ifdef __cplusplus
+extern "C" {
+#endif
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ctx_clone
+ * Signature: (J)J
+ */
+SECP256K1_API jlong JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ctx_1clone
+  (JNIEnv *, jclass, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_context_randomize
+ * Signature: (Ljava/nio/ByteBuffer;J)I
+ */
+SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1context_1randomize
+  (JNIEnv *, jclass, jobject, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_privkey_tweak_add
+ * Signature: (Ljava/nio/ByteBuffer;J)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1add
+  (JNIEnv *, jclass, jobject, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_privkey_tweak_mul
+ * Signature: (Ljava/nio/ByteBuffer;J)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1privkey_1tweak_1mul
+  (JNIEnv *, jclass, jobject, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_pubkey_tweak_add
+ * Signature: (Ljava/nio/ByteBuffer;JI)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1add
+  (JNIEnv *, jclass, jobject, jlong, jint);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_pubkey_tweak_mul
+ * Signature: (Ljava/nio/ByteBuffer;JI)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1pubkey_1tweak_1mul
+  (JNIEnv *, jclass, jobject, jlong, jint);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_destroy_context
+ * Signature: (J)V
+ */
+SECP256K1_API void JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1destroy_1context
+  (JNIEnv *, jclass, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ecdsa_verify
+ * Signature: (Ljava/nio/ByteBuffer;JII)I
+ */
+SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1verify
+  (JNIEnv *, jclass, jobject, jlong, jint, jint);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ecdsa_sign
+ * Signature: (Ljava/nio/ByteBuffer;J)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdsa_1sign
+  (JNIEnv *, jclass, jobject, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ec_seckey_verify
+ * Signature: (Ljava/nio/ByteBuffer;J)I
+ */
+SECP256K1_API jint JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1seckey_1verify
+  (JNIEnv *, jclass, jobject, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ec_pubkey_create
+ * Signature: (Ljava/nio/ByteBuffer;J)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1create
+  (JNIEnv *, jclass, jobject, jlong);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ec_pubkey_parse
+ * Signature: (Ljava/nio/ByteBuffer;JI)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ec_1pubkey_1parse
+  (JNIEnv *, jclass, jobject, jlong, jint);
+
+/*
+ * Class:     org_bitcoin_NativeSecp256k1
+ * Method:    secp256k1_ecdh
+ * Signature: (Ljava/nio/ByteBuffer;JI)[[B
+ */
+SECP256K1_API jobjectArray JNICALL Java_org_bitcoin_NativeSecp256k1_secp256k1_1ecdh
+  (JNIEnv* env, jclass classObject, jobject byteBufferObject, jlong ctx_l, jint publen);
+
+
+#ifdef __cplusplus
+}
+#endif
+#endif

src/java/org_bitcoin_Secp256k1Context.c

@@ -0,0 +1,15 @@
+#include <stdlib.h>
+#include <stdint.h>
+#include "org_bitcoin_Secp256k1Context.h"
+#include "include/secp256k1.h"
+
+SECP256K1_API jlong JNICALL Java_org_bitcoin_Secp256k1Context_secp256k1_1init_1context
+  (JNIEnv* env, jclass classObject)
+{
+  secp256k1_context *ctx = secp256k1_context_create(SECP256K1_CONTEXT_SIGN | SECP256K1_CONTEXT_VERIFY);
+
+  (void)classObject;(void)env;
+
+  return (uintptr_t)ctx;
+}
+